45746400 has 216 divisors, whose sum is σ = 173660760. Its totient is φ = 10429440.

The previous prime is 45746387. The next prime is 45746411. The reversal of 45746400 is 464754.

It is a super-2 number, since 2×45746400² = 4185466225920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 117406 + ... + 117794.

It is an arithmetic number, because the mean of its divisors is an integer number (803985).

Almost surely, 2^45746400 is an apocalyptic number.

45746400 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 45746400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86830380).

45746400 is an abundant number, since it is smaller than the sum of its proper divisors (127914360).

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

45746400 is a wasteful number, since it uses less digits than its factorization.

45746400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 45746400 is about 6763.6085043415. The cubic root of 45746400 is about 357.6451234042.

The spelling of 45746400 in words is "forty-five million, seven hundred forty-six thousand, four hundred".