45729640 has 64 divisors (see below), whose sum is σ = 114903360. Its totient is φ = 16235520.

The previous prime is 45729617. The next prime is 45729701. The reversal of 45729640 is 4692754.

It is a super-3 number, since 3×45729640³ (a number of 24 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 45729640.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17712 + ... + 20128.

It is an arithmetic number, because the mean of its divisors is an integer number (1795365).

Almost surely, 2^45729640 is an apocalyptic number.

45729640 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 45729640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57451680).

45729640 is an abundant number, since it is smaller than the sum of its proper divisors (69173720).

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

45729640 is a wasteful number, since it uses less digits than its factorization.

45729640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2482 (or 2478 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The square root of 45729640 is about 6762.3694072418. The cubic root of 45729640 is about 357.6014415375.

The spelling of 45729640 in words is "forty-five million, seven hundred twenty-nine thousand, six hundred forty".