1472178240 has 560 divisors, whose sum is σ = 5994605232. Its totient is φ = 339738624.

The previous prime is 1472178217. The next prime is 1472178247. The reversal of 1472178240 is 428712741.

1472178240 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 65028096 + 1407150144 = 8064^2 + 37512^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1472178195 and 1472178204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1472178247) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5728192 + ... + 5728448.

Almost surely, 2^1472178240 is an apocalyptic number.

1472178240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1472178240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2997302616).

1472178240 is an abundant number, since it is smaller than the sum of its proper divisors (4522426992).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1472178240 is a wasteful number, since it uses less digits than its factorization.

1472178240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 1472178240 is about 38368.9749667619. The cubic root of 1472178240 is about 1137.5927041139.

The spelling of 1472178240 in words is "one billion, four hundred seventy-two million, one hundred seventy-eight thousand, two hundred forty".