45012400 has 60 divisors (see below), whose sum is σ = 110699512. Its totient is φ = 17579520.

The previous prime is 45012377. The next prime is 45012427. The reversal of 45012400 is 421054.

It is a super-2 number, since 2×45012400² = 4052232307520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 15892 + ... + 18508.

Almost surely, 2^45012400 is an apocalyptic number.

45012400 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 45012400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55349756).

45012400 is an abundant number, since it is smaller than the sum of its proper divisors (65687112).

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

45012400 is a wasteful number, since it uses less digits than its factorization.

45012400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2678 (or 2667 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 45012400 is about 6709.1281102689. The cubic root of 45012400 is about 355.7219981723.

Adding to 45012400 its reverse (421054), we get a palindrome (45433454).

The spelling of 45012400 in words is "forty-five million, twelve thousand, four hundred".