45632400 has 120 divisors (see below), whose sum is σ = 159510624. Its totient is φ = 11059200.

The previous prime is 45632393. The next prime is 45632407. The reversal of 45632400 is 423654.

It is an interprime number because it is at equal distance from previous prime (45632393) and next prime (45632407).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45632407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11472 + ... + 14928.

Almost surely, 2^45632400 is an apocalyptic number.

45632400 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 45632400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79755312).

45632400 is an abundant number, since it is smaller than the sum of its proper divisors (113878224).

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

45632400 is a wasteful number, since it uses less digits than its factorization.

45632400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3489 (or 3478 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 45632400 is about 6755.1757934194. The cubic root of 45632400 is about 357.3477924770.

The spelling of 45632400 in words is "forty-five million, six hundred thirty-two thousand, four hundred".