467742576 has 80 divisors (see below), whose sum is σ = 1387212800. Its totient is φ = 133035264.

The previous prime is 467742503. The next prime is 467742577. The reversal of 467742576 is 675247764.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (467742577) 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, 73905 + ... + 79983.

It is an arithmetic number, because the mean of its divisors is an integer number (17340160).

Almost surely, 2^467742576 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 467742576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693606400).

467742576 is an abundant number, since it is smaller than the sum of its proper divisors (919470224).

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

467742576 is a wasteful number, since it uses less digits than its factorization.

467742576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6326 (or 6320 counting only the distinct ones).

The product of its digits is 1975680, while the sum is 48.

The square root of 467742576 is about 21627.3571200921. The cubic root of 467742576 is about 776.2512294576.

The spelling of 467742576 in words is "four hundred sixty-seven million, seven hundred forty-two thousand, five hundred seventy-six".