4562412400 has 480 divisors, whose sum is σ = 14623314048. Its totient is φ = 1327104000.

The previous prime is 4562412367. The next prime is 4562412401. The reversal of 4562412400 is 42142654.

It is a super-3 number, since 3×4562412400³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4562412401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 45172350 + ... + 45172450.

Almost surely, 2^4562412400 is an apocalyptic number.

4562412400 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 4562412400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7311657024).

4562412400 is an abundant number, since it is smaller than the sum of its proper divisors (10060901648).

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

4562412400 is a wasteful number, since it uses less digits than its factorization.

4562412400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

The square root of 4562412400 is about 67545.6319831268. The cubic root of 4562412400 is about 1658.5612442890.

The spelling of 4562412400 in words is "four billion, five hundred sixty-two million, four hundred twelve thousand, four hundred".