45981600 has 432 divisors, whose sum is σ = 192362688. Its totient is φ = 9461760.

The previous prime is 45981571. The next prime is 45981619. The reversal of 45981600 is 618954.

It is a super-2 number, since 2×45981600² = 4228615077120000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1999189 + ... + 1999211.

It is an arithmetic number, because the mean of its divisors is an integer number (445284).

Almost surely, 2^45981600 is an apocalyptic number.

45981600 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 45981600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96181344).

45981600 is an abundant number, since it is smaller than the sum of its proper divisors (146381088).

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

45981600 is a wasteful number, since it uses less digits than its factorization.

45981600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 45981600 is about 6780.9733814549. The cubic root of 45981600 is about 358.2570067587.

It can be divided in two parts, 459 and 81600, that multiplied together give a square (37454400 = 6120²).

The spelling of 45981600 in words is "forty-five million, nine hundred eighty-one thousand, six hundred".