62420400 has 180 divisors, whose sum is σ = 247661232. Its totient is φ = 14261760.

The previous prime is 62420389. The next prime is 62420471. The reversal of 62420400 is 402426.

62420400 is a `hidden beast` number, since 624 + 2 + 0 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 23962 + ... + 26438.

Almost surely, 2^62420400 is an apocalyptic number.

62420400 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 62420400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123830616).

62420400 is an abundant number, since it is smaller than the sum of its proper divisors (185240832).

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

62420400 is a wasteful number, since it uses less digits than its factorization.

62420400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2508 (or 2494 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 62420400 is about 7900.6582004286. The cubic root of 62420400 is about 396.6817152527.

Adding to 62420400 its reverse (402426), we get a palindrome (62822826).

The spelling of 62420400 in words is "sixty-two million, four hundred twenty thousand, four hundred".