4912608400 has 120 divisors (see below), whose sum is σ = 13853468480. Its totient is φ = 1638766080.

The previous prime is 4912608367. The next prime is 4912608427. The reversal of 4912608400 is 48062194.

It is a super-3 number, since 3×4912608400³ (a number of 30 digits) contains 333 as substring.

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, 79891 + ... + 127309.

Almost surely, 2^4912608400 is an apocalyptic number.

4912608400 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 4912608400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6926734240).

4912608400 is an abundant number, since it is smaller than the sum of its proper divisors (8940860080).

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

4912608400 is a wasteful number, since it uses less digits than its factorization.

4912608400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47481 (or 47470 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 4912608400 is about 70090.0021401055. The cubic root of 4912608400 is about 1699.9548315565.

The spelling of 4912608400 in words is "four billion, nine hundred twelve million, six hundred eight thousand, four hundred".