462542400 has 420 divisors, whose sum is σ = 1760689392. Its totient is φ = 119024640.

The previous prime is 462542347. The next prime is 462542401. The reversal of 462542400 is 4245264.

462542400 is a `hidden beast` number, since 4 + 6 + 254 + 2 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (462542401) 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 59 ways as a sum of consecutive naturals, for example, 5572759 + ... + 5572841.

Almost surely, 2^462542400 is an apocalyptic number.

462542400 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 462542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (880344696).

462542400 is an abundant number, since it is smaller than the sum of its proper divisors (1298146992).

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

462542400 is a wasteful number, since it uses less digits than its factorization.

462542400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 462542400 is about 21506.7989249911. The cubic root of 462542400 is about 773.3638183253.

Adding to 462542400 its reverse (4245264), we get a palindrome (466787664).

The spelling of 462542400 in words is "four hundred sixty-two million, five hundred forty-two thousand, four hundred".