45129800 has 96 divisors (see below), whose sum is σ = 112492800. Its totient is φ = 16800000.

The previous prime is 45129797. The next prime is 45129809. The reversal of 45129800 is 892154.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (45129809) 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, 179675 + ... + 179925.

It is an arithmetic number, because the mean of its divisors is an integer number (1171800).

Almost surely, 2^45129800 is an apocalyptic number.

45129800 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 45129800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56246400).

45129800 is an abundant number, since it is smaller than the sum of its proper divisors (67363000).

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

45129800 is a wasteful number, since it uses less digits than its factorization.

45129800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 29.

The square root of 45129800 is about 6717.8716867770. The cubic root of 45129800 is about 356.0309908635.

The spelling of 45129800 in words is "forty-five million, one hundred twenty-nine thousand, eight hundred".