1407248640 has 540 divisors, whose sum is σ = 5878644156. Its totient is φ = 320495616.

The previous prime is 1407248597. The next prime is 1407248641. The reversal of 1407248640 is 468427041.

1407248640 is a `hidden beast` number, since 1 + 4 + 0 + 7 + 2 + 4 + 8 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 366799104 + 1040449536 = 19152^2 + 32256^2 .

It is a tau number, because it is divible by the number of its divisors (540).

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 = 1407248595 and 1407248604.

It is not an unprimeable number, because it can be changed into a prime (1407248641) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5080182 + ... + 5080458.

Almost surely, 2^1407248640 is an apocalyptic number.

1407248640 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 1407248640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2939322078).

1407248640 is an abundant number, since it is smaller than the sum of its proper divisors (4471395516).

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

1407248640 is an equidigital number, since it uses as much as digits as its factorization.

1407248640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 1407248640 is about 37513.3128369116. The cubic root of 1407248640 is about 1120.6163274442.

It can be divided in two parts, 1407 and 248640, that added together give a cube (250047 = 63³).

The spelling of 1407248640 in words is "one billion, four hundred seven million, two hundred forty-eight thousand, six hundred forty".