46433952 has 96 divisors (see below), whose sum is σ = 136604160. Its totient is φ = 15344640.

The previous prime is 46433903. The next prime is 46433963. The reversal of 46433952 is 25933464.

46433952 is a `hidden beast` number, since 4 + 643 + 3 + 9 + 5 + 2 = 666.

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

It is a super-2 number, since 2×46433952² = 4312223796676608, which contains 22 as substring.

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

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, 192552 + ... + 192792.

It is an arithmetic number, because the mean of its divisors is an integer number (1422960).

Almost surely, 2^46433952 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 46433952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68302080).

46433952 is an abundant number, since it is smaller than the sum of its proper divisors (90170208).

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

46433952 is a wasteful number, since it uses less digits than its factorization.

46433952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 469 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

The square root of 46433952 is about 6814.2462532550. The cubic root of 46433952 is about 359.4279804638.

The spelling of 46433952 in words is "forty-six million, four hundred thirty-three thousand, nine hundred fifty-two".