46088952 has 128 divisors (see below), whose sum is σ = 145152000. Its totient is φ = 11870208.

The previous prime is 46088951. The next prime is 46088957. The reversal of 46088952 is 25988064.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46088951) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102424 + ... + 102872.

It is an arithmetic number, because the mean of its divisors is an integer number (1134000).

Almost surely, 2^46088952 is an apocalyptic number.

46088952 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 46088952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72576000).

46088952 is an abundant number, since it is smaller than the sum of its proper divisors (99063048).

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

46088952 is a wasteful number, since it uses less digits than its factorization.

46088952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 46088952 is about 6788.8844444430. The cubic root of 46088952 is about 358.5355943876.

The spelling of 46088952 in words is "forty-six million, eighty-eight thousand, nine hundred fifty-two".