623462400 has 576 divisors, whose sum is σ = 2559211200. Its totient is φ = 147456000.

The previous prime is 623462383. The next prime is 623462407. The reversal of 623462400 is 4264326.

623462400 is a `hidden beast` number, since 6 + 2 + 34 + 624 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (623462407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15206380 + ... + 15206420.

It is an arithmetic number, because the mean of its divisors is an integer number (4443075).

Almost surely, 2^623462400 is an apocalyptic number.

623462400 is a gapful number since it is divisible by the number (60) 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 623462400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1279605600).

623462400 is an abundant number, since it is smaller than the sum of its proper divisors (1935748800).

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

623462400 is a wasteful number, since it uses less digits than its factorization.

623462400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 623462400 is about 24969.2290629887. The cubic root of 623462400 is about 854.2862618450.

It can be divided in two parts, 62346 and 2400, that added together give a palindrome (64746).

The spelling of 623462400 in words is "six hundred twenty-three million, four hundred sixty-two thousand, four hundred".