467361456 has 80 divisors (see below), whose sum is σ = 1250872320. Its totient is φ = 150209280.

The previous prime is 467361431. The next prime is 467361457. The reversal of 467361456 is 654163764.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (467361457) 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, 658830 + ... + 659538.

It is an arithmetic number, because the mean of its divisors is an integer number (15635904).

Almost surely, 2^467361456 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 467361456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625436160).

467361456 is an abundant number, since it is smaller than the sum of its proper divisors (783510864).

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

467361456 is a wasteful number, since it uses less digits than its factorization.

467361456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1194 (or 1188 counting only the distinct ones).

The product of its digits is 362880, while the sum is 42.

The square root of 467361456 is about 21618.5442618137. The cubic root of 467361456 is about 776.0403404827.

The spelling of 467361456 in words is "four hundred sixty-seven million, three hundred sixty-one thousand, four hundred fifty-six".