4606316400 has 120 divisors (see below), whose sum is σ = 16863535744. Its totient is φ = 1052870400.

The previous prime is 4606316383. The next prime is 4606316417. The reversal of 4606316400 is 46136064.

It is an interprime number because it is at equal distance from previous prime (4606316383) and next prime (4606316417).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 265786 + ... + 282585.

Almost surely, 2^4606316400 is an apocalyptic number.

4606316400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4606316400 is an abundant number, since it is smaller than the sum of its proper divisors (12257219344).

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

4606316400 is a wasteful number, since it uses less digits than its factorization.

4606316400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548399 (or 548388 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 4606316400 is about 67869.8489758155. The cubic root of 4606316400 is about 1663.8643700320.

The spelling of 4606316400 in words is "four billion, six hundred six million, three hundred sixteen thousand, four hundred".