45948672 has 324 divisors, whose sum is σ = 172664856. Its totient is φ = 11612160.

The previous prime is 45948649. The next prime is 45948701. The reversal of 45948672 is 27684954.

It is a happy number.

It is a super-2 number, since 2×45948672² = 4222560917127168, which contains 22 as substring.

Its product of digits (483840) is a multiple of the sum of its prime divisors (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1241838 + ... + 1241874.

Almost surely, 2^45948672 is an apocalyptic number.

45948672 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 45948672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86332428).

45948672 is an abundant number, since it is smaller than the sum of its proper divisors (126716184).

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

45948672 is a wasteful number, since it uses less digits than its factorization.

45948672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 60 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 45948672 is about 6778.5449766156. The cubic root of 45948672 is about 358.1714688931.

The spelling of 45948672 in words is "forty-five million, nine hundred forty-eight thousand, six hundred seventy-two".