45926400 has 288 divisors, whose sum is σ = 170614080. Its totient is φ = 10813440.

The previous prime is 45926399. The next prime is 45926411. The reversal of 45926400 is 462954.

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 23 ways as a sum of consecutive naturals, for example, 1996789 + ... + 1996811.

It is an arithmetic number, because the mean of its divisors is an integer number (592410).

Almost surely, 2^45926400 is an apocalyptic number.

45926400 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 45926400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85307040).

45926400 is an abundant number, since it is smaller than the sum of its proper divisors (124687680).

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

45926400 is a wasteful number, since it uses less digits than its factorization.

45926400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 45926400 is about 6776.9019470552. The cubic root of 45926400 is about 358.1135892066.

The spelling of 45926400 in words is "forty-five million, nine hundred twenty-six thousand, four hundred".