45412640 has 96 divisors (see below), whose sum is σ = 132088320. Its totient is φ = 14367744.

The previous prime is 45412639. The next prime is 45412651. The reversal of 45412640 is 4621454.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 13001 + ... + 16119.

It is an arithmetic number, because the mean of its divisors is an integer number (1375920).

Almost surely, 2^45412640 is an apocalyptic number.

45412640 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 45412640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66044160).

45412640 is an abundant number, since it is smaller than the sum of its proper divisors (86675680).

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

45412640 is a wasteful number, since it uses less digits than its factorization.

45412640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3154 (or 3146 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 45412640 is about 6738.8901163322. The cubic root of 45412640 is about 356.7732215285.

The spelling of 45412640 in words is "forty-five million, four hundred twelve thousand, six hundred forty".