45407460 has 96 divisors (see below), whose sum is σ = 147393792. Its totient is φ = 10229760.

The previous prime is 45407443. The next prime is 45407477. The reversal of 45407460 is 6470454.

It is an interprime number because it is at equal distance from previous prime (45407443) and next prime (45407477).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29920 + ... + 31400.

It is an arithmetic number, because the mean of its divisors is an integer number (1535352).

Almost surely, 2^45407460 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45407460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73696896).

45407460 is an abundant number, since it is smaller than the sum of its proper divisors (101986332).

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

45407460 is a wasteful number, since it uses less digits than its factorization.

45407460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1573 (or 1571 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 45407460 is about 6738.5057690856. The cubic root of 45407460 is about 356.7596558813.

The spelling of 45407460 in words is "forty-five million, four hundred seven thousand, four hundred sixty".