45403200 has 168 divisors, whose sum is σ = 165668960. Its totient is φ = 12096000.

The previous prime is 45403177. The next prime is 45403223. The reversal of 45403200 is 230454.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (45403177) and next prime (45403223).

It is a super-2 number, since 2×45403200² = 4122901140480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42675 + ... + 43725.

Almost surely, 2^45403200 is an apocalyptic number.

45403200 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 45403200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82834480).

45403200 is an abundant number, since it is smaller than the sum of its proper divisors (120265760).

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

45403200 is a wasteful number, since it uses less digits than its factorization.

45403200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1082 (or 1061 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 45403200 is about 6738.1896678559. The cubic root of 45403200 is about 356.7484988037.

Adding to 45403200 its reverse (230454), we get a palindrome (45633654).

The spelling of 45403200 in words is "forty-five million, four hundred three thousand, two hundred".