453602400 has 144 divisors (see below), whose sum is σ = 1483530048. Its totient is φ = 120384000.

The previous prime is 453602377. The next prime is 453602407. The reversal of 453602400 is 4206354.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (453602407) 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, 794115 + ... + 794685.

It is an arithmetic number, because the mean of its divisors is an integer number (10302292).

Almost surely, 2^453602400 is an apocalyptic number.

453602400 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 453602400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (741765024).

453602400 is an abundant number, since it is smaller than the sum of its proper divisors (1029927648).

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

453602400 is a wasteful number, since it uses less digits than its factorization.

453602400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 925 (or 912 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 453602400 is about 21297.9435627011. The cubic root of 453602400 is about 768.3488541003.

Adding to 453602400 its reverse (4206354), we get a palindrome (457808754).

The spelling of 453602400 in words is "four hundred fifty-three million, six hundred two thousand, four hundred".