45367600 has 60 divisors (see below), whose sum is σ = 112782960. Its totient is φ = 17516800.

The previous prime is 45367589. The next prime is 45367613. The reversal of 45367600 is 676354.

It is a super-4 number, since 4×45367600⁴ (a number of 32 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9645 + ... + 13555.

It is an arithmetic number, because the mean of its divisors is an integer number (1879716).

Almost surely, 2^45367600 is an apocalyptic number.

45367600 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 45367600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56391480).

45367600 is an abundant number, since it is smaller than the sum of its proper divisors (67415360).

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

45367600 is a wasteful number, since it uses less digits than its factorization.

45367600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3958 (or 3947 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 31.

The square root of 45367600 is about 6735.5474907390. The cubic root of 45367600 is about 356.6552339577.

The spelling of 45367600 in words is "forty-five million, three hundred sixty-seven thousand, six hundred".