45267600 has 240 divisors, whose sum is σ = 176024448. Its totient is φ = 9707520.

The previous prime is 45267581. The next prime is 45267601. The reversal of 45267600 is 676254.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (45267601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 142642 + ... + 142958.

Almost surely, 2^45267600 is an apocalyptic number.

45267600 is a gapful number since it is divisible by the number (40) 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 45267600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88012224).

45267600 is an abundant number, since it is smaller than the sum of its proper divisors (130756848).

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

45267600 is a wasteful number, since it uses less digits than its factorization.

45267600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 45267600 is about 6728.1200940530. The cubic root of 45267600 is about 356.3929927667.

The spelling of 45267600 in words is "forty-five million, two hundred sixty-seven thousand, six hundred".