472617600 has 384 divisors, whose sum is σ = 1919460480. Its totient is φ = 99532800.

The previous prime is 472617583. The next prime is 472617623. The reversal of 472617600 is 6716274.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 873330 + ... + 873870.

It is an arithmetic number, because the mean of its divisors is an integer number (4998595).

Almost surely, 2^472617600 is an apocalyptic number.

472617600 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 472617600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (959730240).

472617600 is an abundant number, since it is smaller than the sum of its proper divisors (1446842880).

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

472617600 is a wasteful number, since it uses less digits than its factorization.

472617600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 472617600 is about 21739.7700079831. The cubic root of 472617600 is about 778.9387276219.

The spelling of 472617600 in words is "four hundred seventy-two million, six hundred seventeen thousand, six hundred".