45942880 has 48 divisors (see below), whose sum is σ = 109653264. Its totient is φ = 18188800.

The previous prime is 45942847. The next prime is 45942889. The reversal of 45942880 is 8824954.

It is a super-2 number, since 2×45942880² = 4221496445388800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45942889) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14739 + ... + 17581.

It is an arithmetic number, because the mean of its divisors is an integer number (2284443).

Almost surely, 2^45942880 is an apocalyptic number.

45942880 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 45942880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54826632).

45942880 is an abundant number, since it is smaller than the sum of its proper divisors (63710384).

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

45942880 is a wasteful number, since it uses less digits than its factorization.

45942880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2959 (or 2951 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 40.

The square root of 45942880 is about 6778.1177328223. The cubic root of 45942880 is about 358.1564186481.

The spelling of 45942880 in words is "forty-five million, nine hundred forty-two thousand, eight hundred eighty".