45329600 has 84 divisors (see below), whose sum is σ = 114424968. Its totient is φ = 17664000.

The previous prime is 45329593. The next prime is 45329621. The reversal of 45329600 is 692354.

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, 65255 + ... + 65945.

It is an arithmetic number, because the mean of its divisors is an integer number (1362202).

Almost surely, 2^45329600 is an apocalyptic number.

45329600 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 45329600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57212484).

45329600 is an abundant number, since it is smaller than the sum of its proper divisors (69095368).

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

45329600 is a wasteful number, since it uses less digits than its factorization.

45329600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 754 (or 739 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 29.

The square root of 45329600 is about 6732.7260452212. The cubic root of 45329600 is about 356.5556277437. Note that the first 3 decimals are identical.

The spelling of 45329600 in words is "forty-five million, three hundred twenty-nine thousand, six hundred".