45952800 has 144 divisors (see below), whose sum is σ = 153552672. Its totient is φ = 11929600.

The previous prime is 45952787. The next prime is 45952817. The reversal of 45952800 is 825954.

45952800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×45952800² = 4223319655680000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98167 + ... + 98633.

It is an arithmetic number, because the mean of its divisors is an integer number (1066338).

Almost surely, 2^45952800 is an apocalyptic number.

45952800 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 45952800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76776336).

45952800 is an abundant number, since it is smaller than the sum of its proper divisors (107599872).

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

45952800 is a wasteful number, since it uses less digits than its factorization.

45952800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 45952800 is about 6778.8494599010. The cubic root of 45952800 is about 358.1821945390.

The spelling of 45952800 in words is "forty-five million, nine hundred fifty-two thousand, eight hundred".