472265702400 has 264 divisors, whose sum is σ = 1643018490880. Its totient is φ = 119308861440.

The previous prime is 472265702399. The next prime is 472265702471. The reversal of 472265702400 is 4207562274.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1297377 + ... + 1621023.

Almost surely, 2^472265702400 is an apocalyptic number.

472265702400 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 472265702400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (821509245440).

472265702400 is an abundant number, since it is smaller than the sum of its proper divisors (1170752788480).

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

472265702400 is a wasteful number, since it uses less digits than its factorization.

472265702400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323699 (or 323676 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 39.

The spelling of 472265702400 in words is "four hundred seventy-two billion, two hundred sixty-five million, seven hundred two thousand, four hundred".