4600400 has 120 divisors (see below), whose sum is σ = 13284864. Its totient is φ = 1497600.

The previous prime is 4600399. The next prime is 4600411. The reversal of 4600400 is 40064.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

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, 86774 + ... + 86826.

Almost surely, 2^4600400 is an apocalyptic number.

4600400 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 4600400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6642432).

4600400 is an abundant number, since it is smaller than the sum of its proper divisors (8684464).

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

4600400 is a wasteful number, since it uses less digits than its factorization.

4600400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 4600400 is about 2144.8543074064. The cubic root of 4600400 is about 166.3151703342.

Adding to 4600400 its reverse (40064), we get a palindrome (4640464).

The spelling of 4600400 in words is "four million, six hundred thousand, four hundred".