45310464 has 60 divisors (see below), whose sum is σ = 130782366. Its totient is φ = 15101952.

The previous prime is 45310427. The next prime is 45310469. The reversal of 45310464 is 46401354.

It can be written as a sum of positive squares in only one way, i.e., 38340864 + 6969600 = 6192^2 + 2640^2 .

It is a super-3 number, since 3×45310464³ (a number of 24 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (45310469) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 309 + ... + 9524.

Almost surely, 2^45310464 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 45310464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65391183).

45310464 is an abundant number, since it is smaller than the sum of its proper divisors (85471902).

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

45310464 is an equidigital number, since it uses as much as digits as its factorization.

45310464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9857 (or 9838 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 45310464 is about 6731.3047769359. The cubic root of 45310464 is about 356.5054470756.

The spelling of 45310464 in words is "forty-five million, three hundred ten thousand, four hundred sixty-four".