451542400 has 48 divisors (see below), whose sum is σ = 1115458740. Its totient is φ = 180615680.

The previous prime is 451542367. The next prime is 451542401. The reversal of 451542400 is 4245154.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (451542401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 67354 + ... + 73753.

Almost surely, 2^451542400 is an apocalyptic number.

451542400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

451542400 is an abundant number, since it is smaller than the sum of its proper divisors (663916340).

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

451542400 is a wasteful number, since it uses less digits than its factorization.

451542400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141131 (or 141114 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

The square root of 451542400 is about 21249.5270535605. The cubic root of 451542400 is about 767.1839567105.

Adding to 451542400 its reverse (4245154), we get a palindrome (455787554).

The spelling of 451542400 in words is "four hundred fifty-one million, five hundred forty-two thousand, four hundred".