45416640 has 56 divisors (see below), whose sum is σ = 144200880. Its totient is φ = 12110848.

The previous prime is 45416633. The next prime is 45416653. The reversal of 45416640 is 4661454.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 45416598 and 45416607.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22695 + ... + 24614.

Almost surely, 2^45416640 is an apocalyptic number.

45416640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45416640 is an abundant number, since it is smaller than the sum of its proper divisors (98784240).

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

45416640 is a wasteful number, since it uses less digits than its factorization.

45416640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47329 (or 47319 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 45416640 is about 6739.1868945742. The cubic root of 45416640 is about 356.7836962259.

It can be divided in two parts, 45416 and 640, that added together give a triangular number (46056 = T₃₀₃).

The spelling of 45416640 in words is "forty-five million, four hundred sixteen thousand, six hundred forty".