45887952 has 80 divisors (see below), whose sum is σ = 130223808. Its totient is φ = 13808640.

The previous prime is 45887951. The next prime is 45887953. The reversal of 45887952 is 25978854.

It is an interprime number because it is at equal distance from previous prime (45887951) and next prime (45887953).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45887951) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122838 + ... + 123210.

Almost surely, 2^45887952 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 45887952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65111904).

45887952 is an abundant number, since it is smaller than the sum of its proper divisors (84335856).

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

45887952 is a wasteful number, since it uses less digits than its factorization.

45887952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 622 counting only the distinct ones).

The product of its digits is 806400, while the sum is 48.

The square root of 45887952 is about 6774.0646586817. The cubic root of 45887952 is about 358.0136278532.

It can be divided in two parts, 458 and 87952, that added together give a triangular number (88410 = T₄₂₀).

The spelling of 45887952 in words is "forty-five million, eight hundred eighty-seven thousand, nine hundred fifty-two".