1472792400 has 180 divisors, whose sum is σ = 5249608572. Its totient is φ = 382095360.

The previous prime is 1472792389. The next prime is 1472792401. The reversal of 1472792400 is 42972741.

1472792400 is a `hidden beast` number, since 147 + 27 + 92 + 400 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 10188864 + 1462603536 = 3192^2 + 38244^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1472792401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 127672 + ... + 138728.

Almost surely, 2^1472792400 is an apocalyptic number.

1472792400 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 1472792400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2624804286).

1472792400 is an abundant number, since it is smaller than the sum of its proper divisors (3776816172).

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

1472792400 is a wasteful number, since it uses less digits than its factorization.

1472792400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11118 (or 11104 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 1472792400 is about 38376.9774734801. The cubic root of 1472792400 is about 1137.7508749075.

The spelling of 1472792400 in words is "one billion, four hundred seventy-two million, seven hundred ninety-two thousand, four hundred".