45517920 has 384 divisors, whose sum is σ = 185794560. Its totient is φ = 9123840.

The previous prime is 45517919. The next prime is 45517921. The reversal of 45517920 is 2971554.

It is an interprime number because it is at equal distance from previous prime (45517919) and next prime (45517921).

It is a super-2 number, since 2×45517920² = 4143762082252800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45517921) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1468305 + ... + 1468335.

It is an arithmetic number, because the mean of its divisors is an integer number (483840).

Almost surely, 2^45517920 is an apocalyptic number.

45517920 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 45517920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92897280).

45517920 is an abundant number, since it is smaller than the sum of its proper divisors (140276640).

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

45517920 is a wasteful number, since it uses less digits than its factorization.

45517920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 33.

The square root of 45517920 is about 6746.6969696289. The cubic root of 45517920 is about 357.0487108796.

The spelling of 45517920 in words is "forty-five million, five hundred seventeen thousand, nine hundred twenty".