45614400 has 336 divisors, whose sum is σ = 174613824. Its totient is φ = 10321920.

The previous prime is 45614389. The next prime is 45614407. The reversal of 45614400 is 441654.

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 (45614407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1060779 + ... + 1060821.

It is an arithmetic number, because the mean of its divisors is an integer number (519684).

Almost surely, 2^45614400 is an apocalyptic number.

45614400 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 45614400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87306912).

45614400 is an abundant number, since it is smaller than the sum of its proper divisors (128999424).

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

45614400 is a wasteful number, since it uses less digits than its factorization.

45614400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 45614400 is about 6753.8433502710. The cubic root of 45614400 is about 357.3008002361.

The spelling of 45614400 in words is "forty-five million, six hundred fourteen thousand, four hundred".