46212960 has 96 divisors (see below), whose sum is σ = 149022720. Its totient is φ = 12031488.

The previous prime is 46212937. The next prime is 46212973. The reversal of 46212960 is 6921264.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent 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, 19521 + ... + 21759.

It is an arithmetic number, because the mean of its divisors is an integer number (1552320).

Almost surely, 2^46212960 is an apocalyptic number.

46212960 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 46212960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74511360).

46212960 is an abundant number, since it is smaller than the sum of its proper divisors (102809760).

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

46212960 is a wasteful number, since it uses less digits than its factorization.

46212960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2300 (or 2292 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 46212960 is about 6798.0114739532. The cubic root of 46212960 is about 358.8568678047.

The spelling of 46212960 in words is "forty-six million, two hundred twelve thousand, nine hundred sixty".