45311200 has 144 divisors (see below), whose sum is σ = 127491840. Its totient is φ = 15552000.

The previous prime is 45311179. The next prime is 45311209. The reversal of 45311200 is 211354.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45311209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 167065 + ... + 167335.

It is an arithmetic number, because the mean of its divisors is an integer number (885360).

Almost surely, 2^45311200 is an apocalyptic number.

45311200 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 45311200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63745920).

45311200 is an abundant number, since it is smaller than the sum of its proper divisors (82180640).

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

45311200 is a wasteful number, since it uses less digits than its factorization.

45311200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 45311200 is about 6731.3594466497. The cubic root of 45311200 is about 356.5073773625.

Adding to 45311200 its reverse (211354), we get a palindrome (45522554).

The spelling of 45311200 in words is "forty-five million, three hundred eleven thousand, two hundred".