467504576 has 112 divisors (see below), whose sum is σ = 1217736960. Its totient is φ = 172523520.

The previous prime is 467504561. The next prime is 467504579. The reversal of 467504576 is 675405764.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 467504576 = 60³ + 776³ = 614³ + 618³.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (467504579) 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, 91136 + ... + 96128.

Almost surely, 2^467504576 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 467504576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608868480).

467504576 is an abundant number, since it is smaller than the sum of its proper divisors (750232384).

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

467504576 is a wasteful number, since it uses less digits than its factorization.

467504576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5042 (or 5032 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 44.

The square root of 467504576 is about 21621.8541295607. The cubic root of 467504576 is about 776.1195479545.

The spelling of 467504576 in words is "four hundred sixty-seven million, five hundred four thousand, five hundred seventy-six".