45998400 has 252 divisors, whose sum is σ = 177259488. Its totient is φ = 10229760.

The previous prime is 45998377. The next prime is 45998401. The reversal of 45998400 is 489954.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45998401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1243182 + ... + 1243218.

Almost surely, 2^45998400 is an apocalyptic number.

45998400 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 45998400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88629744).

45998400 is an abundant number, since it is smaller than the sum of its proper divisors (131261088).

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

45998400 is a wasteful number, since it uses less digits than its factorization.

45998400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 45998400 is about 6782.2120285346. The cubic root of 45998400 is about 358.3006327950.

The spelling of 45998400 in words is "forty-five million, nine hundred ninety-eight thousand, four hundred".