467451972 has 90 divisors (see below), whose sum is σ = 1323398538. Its totient is φ = 143814528.

The previous prime is 467451953. The next prime is 467451973. The reversal of 467451972 is 279154764.

467451972 is a `hidden beast` number, since 4 + 67 + 4 + 519 + 72 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 22410756 + 445041216 = 4734^2 + 21096^2 .

It is a super-2 number, since 2×467451972² = 437022692253377568, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (467451973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 50488 + ... + 59024.

Almost surely, 2^467451972 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 467451972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661699269).

467451972 is an abundant number, since it is smaller than the sum of its proper divisors (855946566).

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

467451972 is a wasteful number, since it uses less digits than its factorization.

467451972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8579 (or 8555 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 467451972 is about 21620.6376409208. The cubic root of 467451972 is about 776.0904369923.

The spelling of 467451972 in words is "four hundred sixty-seven million, four hundred fifty-one thousand, nine hundred seventy-two".