470207928400 has 120 divisors (see below), whose sum is σ = 1291845761024. Its totient is φ = 161115609600.

The previous prime is 470207928397. The next prime is 470207928493. The reversal of 470207928400 is 4829702074.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4605910 + ... + 4706890.

Almost surely, 2^470207928400 is an apocalyptic number.

470207928400 is a gapful number since it is divisible by the number (40) 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 470207928400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645922880512).

470207928400 is an abundant number, since it is smaller than the sum of its proper divisors (821637832624).

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

470207928400 is a wasteful number, since it uses less digits than its factorization.

470207928400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102669 (or 102658 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 43.

The spelling of 470207928400 in words is "four hundred seventy billion, two hundred seven million, nine hundred twenty-eight thousand, four hundred".