467055504 has 80 divisors (see below), whose sum is σ = 1365984000. Its totient is φ = 152740224.

The previous prime is 467055499. The next prime is 467055509. The reversal of 467055504 is 405550764.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (467055499) and next prime (467055509).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (467055509) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12697 + ... + 33095.

It is an arithmetic number, because the mean of its divisors is an integer number (17074800).

Almost surely, 2^467055504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 467055504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682992000).

467055504 is an abundant number, since it is smaller than the sum of its proper divisors (898928496).

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

467055504 is a wasteful number, since it uses less digits than its factorization.

467055504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20469 (or 20457 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The square root of 467055504 is about 21611.4669562249. The cubic root of 467055504 is about 775.8709619995.

The spelling of 467055504 in words is "four hundred sixty-seven million, fifty-five thousand, five hundred four".