472392000000 has 770 divisors, whose sum is σ = 1769707406049. Its totient is φ = 125971200000.

The previous prime is 472391999971. The next prime is 472392000011. The reversal of 472392000000 is 293274.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 4 ways, for example, as 80556062976 + 391835937024 = 283824^2 + 625968^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=3, B=5400.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 76 ways as a sum of consecutive naturals, for example, 94478399998 + ... + 94478400002.

Almost surely, 2^472392000000 is an apocalyptic number.

472392000000 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 472392000000

472392000000 is an abundant number, since it is smaller than the sum of its proper divisors (1297315406049).

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

472392000000 is an frugal number, since it uses more digits than its factorization.

472392000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

Adding to 472392000000 its reverse (293274), we get a palindrome (472392293274).

The spelling of 472392000000 in words is "four hundred seventy-two billion, three hundred ninety-two million", and thus it is an aban number.