472364400 has 60 divisors (see below), whose sum is σ = 1513144472. Its totient is φ = 125963520.

The previous prime is 472364393. The next prime is 472364401. The reversal of 472364400 is 4463274.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (472364401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 195619 + ... + 198018.

Almost surely, 2^472364400 is an apocalyptic number.

472364400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

472364400 is an abundant number, since it is smaller than the sum of its proper divisors (1040780072).

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

472364400 is a wasteful number, since it uses less digits than its factorization.

472364400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393658 (or 393647 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 30.

The square root of 472364400 is about 21733.9457991410. The cubic root of 472364400 is about 778.7995999796.

The spelling of 472364400 in words is "four hundred seventy-two million, three hundred sixty-four thousand, four hundred".