45797400 has 240 divisors, whose sum is σ = 174196440. Its totient is φ = 11059200.

The previous prime is 45797399. The next prime is 45797413. The reversal of 45797400 is 479754.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 178072 + ... + 178328.

Almost surely, 2^45797400 is an apocalyptic number.

45797400 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 45797400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87098220).

45797400 is an abundant number, since it is smaller than the sum of its proper divisors (128399040).

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

45797400 is a wasteful number, since it uses less digits than its factorization.

45797400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 45797400 is about 6767.3776309587. The cubic root of 45797400 is about 357.7779799589. Note that the first 3 decimals are identical.

The spelling of 45797400 in words is "forty-five million, seven hundred ninety-seven thousand, four hundred".