4620402000 has 280 divisors, whose sum is σ = 16755821160. Its totient is φ = 1231718400.

The previous prime is 4620401999. The next prime is 4620402011. The reversal of 4620402000 is 2040264.

4620402000 is a `hidden beast` number, since 4 + 620 + 40 + 2 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5645376 + 4614756624 = 2376^2 + 67932^2 .

It is a super-2 number, since 2×4620402000² = 42696229283208000000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1456416 + ... + 1459584.

Almost surely, 2^4620402000 is an apocalyptic number.

4620402000 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 4620402000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8377910580).

4620402000 is an abundant number, since it is smaller than the sum of its proper divisors (12135419160).

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

4620402000 is an equidigital number, since it uses as much as digits as its factorization.

4620402000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3210 (or 3179 counting only the distinct ones).

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

The square root of 4620402000 is about 67973.5389692195. The cubic root of 4620402000 is about 1665.5586146067.

Adding to 4620402000 its reverse (2040264), we get a palindrome (4622442264).

The spelling of 4620402000 in words is "four billion, six hundred twenty million, four hundred two thousand".