45743400 has 192 divisors, whose sum is σ = 162043200. Its totient is φ = 11854080.

The previous prime is 45743387. The next prime is 45743429. The reversal of 45743400 is 434754.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 232102 + ... + 232298.

It is an arithmetic number, because the mean of its divisors is an integer number (843975).

Almost surely, 2^45743400 is an apocalyptic number.

45743400 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 45743400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81021600).

45743400 is an abundant number, since it is smaller than the sum of its proper divisors (116299800).

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

45743400 is a wasteful number, since it uses less digits than its factorization.

45743400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 45743400 is about 6763.3867255984. The cubic root of 45743400 is about 357.6373052384.

The spelling of 45743400 in words is "forty-five million, seven hundred forty-three thousand, four hundred".