45269664 has 96 divisors (see below), whose sum is σ = 130927104. Its totient is φ = 13582080.

The previous prime is 45269663. The next prime is 45269677. The reversal of 45269664 is 46696254.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (45269663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 171997 + ... + 172259.

It is an arithmetic number, because the mean of its divisors is an integer number (1363824).

Almost surely, 2^45269664 is an apocalyptic number.

45269664 is a gapful number since it is divisible by the number (44) 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 45269664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65463552).

45269664 is an abundant number, since it is smaller than the sum of its proper divisors (85657440).

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

45269664 is a wasteful number, since it uses less digits than its factorization.

45269664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 442 counting only the distinct ones).

The product of its digits is 311040, while the sum is 42.

The square root of 45269664 is about 6728.2734783895. The cubic root of 45269664 is about 356.3984093263.

The spelling of 45269664 in words is "forty-five million, two hundred sixty-nine thousand, six hundred sixty-four".