4247006400 has 756 divisors, whose sum is σ = 18950891232. Its totient is φ = 894136320.

The previous prime is 4247006389. The next prime is 4247006411. The reversal of 4247006400 is 46007424.

It is an interprime number because it is at equal distance from previous prime (4247006389) and next prime (4247006411).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 9172569 + ... + 9173031.

Almost surely, 2^4247006400 is an apocalyptic number.

4247006400 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 4247006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9475445616).

4247006400 is an abundant number, since it is smaller than the sum of its proper divisors (14703884832).

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

4247006400 is a wasteful number, since it uses less digits than its factorization.

4247006400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 4247006400 is about 65169.0601435988. The cubic root of 4247006400 is about 1619.4254935871.

The spelling of 4247006400 in words is "four billion, two hundred forty-seven million, six thousand, four hundred".