45279360 has 192 divisors, whose sum is σ = 178850880. Its totient is φ = 10340352.

The previous prime is 45279343. The next prime is 45279371. The reversal of 45279360 is 6397254.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39759 + ... + 40881.

It is an arithmetic number, because the mean of its divisors is an integer number (931515).

Almost surely, 2^45279360 is an apocalyptic number.

45279360 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 45279360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89425440).

45279360 is an abundant number, since it is smaller than the sum of its proper divisors (133571520).

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

45279360 is a wasteful number, since it uses less digits than its factorization.

45279360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1155 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 45279360 is about 6728.9939812724. The cubic root of 45279360 is about 356.4238523565.

The spelling of 45279360 in words is "forty-five million, two hundred seventy-nine thousand, three hundred sixty".