467932920 has 256 divisors, whose sum is σ = 1754403840. Its totient is φ = 97210368.

The previous prime is 467932903. The next prime is 467932921. The reversal of 467932920 is 29239764.

It is a happy number.

It is a super-2 number, since 2×467932920² = 437922435239452800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (467932921) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 796867 + ... + 797453.

It is an arithmetic number, because the mean of its divisors is an integer number (6853140).

Almost surely, 2^467932920 is an apocalyptic number.

467932920 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 467932920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (877201920).

467932920 is an abundant number, since it is smaller than the sum of its proper divisors (1286470920).

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

467932920 is a wasteful number, since it uses less digits than its factorization.

467932920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 42.

The square root of 467932920 is about 21631.7572101760. The cubic root of 467932920 is about 776.3565115319.

The spelling of 467932920 in words is "four hundred sixty-seven million, nine hundred thirty-two thousand, nine hundred twenty".