45076900 has 72 divisors (see below), whose sum is σ = 109305504. Its totient is φ = 15993600.

The previous prime is 45076897. The next prime is 45076903. The reversal of 45076900 is 967054.

It is an interprime number because it is at equal distance from previous prime (45076897) and next prime (45076903).

It is a super-2 number, since 2×45076900² = 4063853827220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45076903) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46824 + ... + 47776.

It is an arithmetic number, because the mean of its divisors is an integer number (1518132).

Almost surely, 2^45076900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45076900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54652752).

45076900 is an abundant number, since it is smaller than the sum of its proper divisors (64228604).

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

45076900 is a wasteful number, since it uses less digits than its factorization.

45076900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1021 (or 1014 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 31.

The square root of 45076900 is about 6713.9332734248. The cubic root of 45076900 is about 355.8918263267.

The spelling of 45076900 in words is "forty-five million, seventy-six thousand, nine hundred".