45403600 has 120 divisors (see below), whose sum is σ = 126206208. Its totient is φ = 15513600.

The previous prime is 45403493. The next prime is 45403607. The reversal of 45403600 is 630454.

45403600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×45403600² = 4122973785920000, which contains 22 as substring.

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 (45403607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74497 + ... + 75103.

Almost surely, 2^45403600 is an apocalyptic number.

45403600 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 45403600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63103104).

45403600 is an abundant number, since it is smaller than the sum of its proper divisors (80802608).

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

45403600 is a wasteful number, since it uses less digits than its factorization.

45403600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 45403600 is about 6738.2193493534. The cubic root of 45403600 is about 356.7495464463.

The spelling of 45403600 in words is "forty-five million, four hundred three thousand, six hundred".