472362000 has 320 divisors, whose sum is σ = 1763244288. Its totient is φ = 107520000.

The previous prime is 472361999. The next prime is 472362013. The reversal of 472362000 is 263274.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1121790 + ... + 1122210.

Almost surely, 2^472362000 is an apocalyptic number.

472362000 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 472362000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (881622144).

472362000 is an abundant number, since it is smaller than the sum of its proper divisors (1290882288).

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

472362000 is a wasteful number, since it uses less digits than its factorization.

472362000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 472362000 is about 21733.8905859029. The cubic root of 472362000 is about 778.7982809964.

The spelling of 472362000 in words is "four hundred seventy-two million, three hundred sixty-two thousand".