45225400 has 96 divisors (see below), whose sum is σ = 116934480. Its totient is φ = 16128000.

The previous prime is 45225391. The next prime is 45225403. The reversal of 45225400 is 452254.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45225403) 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, 134032 + ... + 134368.

Almost surely, 2^45225400 is an apocalyptic number.

45225400 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 45225400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58467240).

45225400 is an abundant number, since it is smaller than the sum of its proper divisors (71709080).

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

45225400 is a wasteful number, since it uses less digits than its factorization.

45225400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 22.

The square root of 45225400 is about 6724.9832713547. The cubic root of 45225400 is about 356.2822111020.

Adding to 45225400 its reverse (452254), we get a palindrome (45677654).

Multiplying 45225400 by its reverse (452254), we get a square (20453368051600 = 4522540²).

45225400 divided by its reverse (452254) gives a square (100 = 10²).

It can be divided in two parts, 452 and 25400, that added together give a palindrome (25852).

The spelling of 45225400 in words is "forty-five million, two hundred twenty-five thousand, four hundred".