1472598400 has 288 divisors, whose sum is σ = 4513438800. Its totient is φ = 464855040.

The previous prime is 1472598371. The next prime is 1472598431. The reversal of 1472598400 is 48952741.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3785406 + ... + 3785794.

Almost surely, 2^1472598400 is an apocalyptic number.

1472598400 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 1472598400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2256719400).

1472598400 is an abundant number, since it is smaller than the sum of its proper divisors (3040840400).

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

1472598400 is a wasteful number, since it uses less digits than its factorization.

1472598400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 40.

The square root of 1472598400 is about 38374.4498331898. The cubic root of 1472598400 is about 1137.7009168909.

The spelling of 1472598400 in words is "one billion, four hundred seventy-two million, five hundred ninety-eight thousand, four hundred".