45270464 has 56 divisors (see below), whose sum is σ = 96316800. Its totient is φ = 21047040.

The previous prime is 45270461. The next prime is 45270481. The reversal of 45270464 is 46407254.

It is a super-3 number, since 3×45270464³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 45270464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45270461) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 71429 + ... + 72059.

Almost surely, 2^45270464 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 45270464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48158400).

45270464 is an abundant number, since it is smaller than the sum of its proper divisors (51046336).

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

45270464 is a wasteful number, since it uses less digits than its factorization.

45270464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 721 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 32.

The square root of 45270464 is about 6728.3329287425. The cubic root of 45270464 is about 356.4005087237.

The spelling of 45270464 in words is "forty-five million, two hundred seventy thousand, four hundred sixty-four".