4620400000 has 96 divisors (see below), whose sum is σ = 11506138560. Its totient is φ = 1848000000.

The previous prime is 4620399997. The next prime is 4620400021. The reversal of 4620400000 is 40264.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 394225 + ... + 405775.

It is an arithmetic number, because the mean of its divisors is an integer number (119855610).

Almost surely, 2^4620400000 is an apocalyptic number.

4620400000 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 4620400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5753069280).

4620400000 is an abundant number, since it is smaller than the sum of its proper divisors (6885738560).

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

4620400000 is an frugal number, since it uses more digits than its factorization.

4620400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11590 (or 11558 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 4620400000 is about 67973.5242576108. The cubic root of 4620400000 is about 1665.5583742873.

Adding to 4620400000 its reverse (40264), we get a palindrome (4620440264).

The spelling of 4620400000 in words is "four billion, six hundred twenty million, four hundred thousand".