45396960 has 192 divisors, whose sum is σ = 166924800. Its totient is φ = 10156032.

The previous prime is 45396943. The next prime is 45396973. The reversal of 45396960 is 6969354.

45396960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 198126 + ... + 198354.

It is an arithmetic number, because the mean of its divisors is an integer number (869400).

Almost surely, 2^45396960 is an apocalyptic number.

45396960 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 45396960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83462400).

45396960 is an abundant number, since it is smaller than the sum of its proper divisors (121527840).

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

45396960 is a wasteful number, since it uses less digits than its factorization.

45396960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 42.

The square root of 45396960 is about 6737.7266195654. The cubic root of 45396960 is about 356.7321547823.

The spelling of 45396960 in words is "forty-five million, three hundred ninety-six thousand, nine hundred sixty".