466524072 has 96 divisors (see below), whose sum is σ = 1462406400. Its totient is φ = 131594112.

The previous prime is 466524059. The next prime is 466524103. The reversal of 466524072 is 270425664.

466524072 is a `hidden beast` number, since 4 + 66 + 524 + 0 + 72 = 666.

It is a super-2 number, since 2×466524072² = 435289419510922368, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33958 + ... + 45674.

It is an arithmetic number, because the mean of its divisors is an integer number (15233400).

Almost surely, 2^466524072 is an apocalyptic number.

466524072 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 466524072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731203200).

466524072 is an abundant number, since it is smaller than the sum of its proper divisors (995882328).

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

466524072 is a wasteful number, since it uses less digits than its factorization.

466524072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11815 (or 11808 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 466524072 is about 21599.1683173219. The cubic root of 466524072 is about 775.5765793280.

The spelling of 466524072 in words is "four hundred sixty-six million, five hundred twenty-four thousand, seventy-two".