4622400 has 168 divisors, whose sum is σ = 17007840. Its totient is φ = 1221120.

The previous prime is 4622399. The next prime is 4622411. The reversal of 4622400 is 42264.

4622400 = 76³ + 77³ + ... + 84³.

4622400 is a `hidden beast` number, since 4 + 622 + 40 + 0 = 666.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43147 + ... + 43253.

Almost surely, 2^4622400 is an apocalyptic number.

4622400 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 4622400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8503920).

4622400 is an abundant number, since it is smaller than the sum of its proper divisors (12385440).

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

4622400 is a wasteful number, since it uses less digits than its factorization.

4622400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 117 counting only the distinct ones).

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

The square root of 4622400 is about 2149.9767440603. The cubic root of 4622400 is about 166.5798659127.

Adding to 4622400 its reverse (42264), we get a palindrome (4664664).

The spelling of 4622400 in words is "four million, six hundred twenty-two thousand, four hundred".