46224960 has 112 divisors (see below), whose sum is σ = 148132800. Its totient is φ = 12212224.

The previous prime is 46224953. The next prime is 46224977. The reversal of 46224960 is 6942264.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 171706 + ... + 171974.

Almost surely, 2^46224960 is an apocalyptic number.

46224960 is a gapful number since it is divisible by the number (40) 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 46224960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74066400).

46224960 is an abundant number, since it is smaller than the sum of its proper divisors (101907840).

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

46224960 is a wasteful number, since it uses less digits than its factorization.

46224960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 46224960 is about 6798.8940277077. The cubic root of 46224960 is about 358.8879262620.

The spelling of 46224960 in words is "forty-six million, two hundred twenty-four thousand, nine hundred sixty".