4835966400 has 252 divisors, whose sum is σ = 17609539584. Its totient is φ = 1257984000.

The previous prime is 4835966383. The next prime is 4835966411. The reversal of 4835966400 is 46695384.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 586305 + ... + 594495.

Almost surely, 2^4835966400 is an apocalyptic number.

4835966400 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 4835966400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8804769792).

4835966400 is an abundant number, since it is smaller than the sum of its proper divisors (12773573184).

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

4835966400 is a wasteful number, since it uses less digits than its factorization.

4835966400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8260 (or 8242 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 4835966400 is about 69541.1130195656. The cubic root of 4835966400 is about 1691.0680782618.

The spelling of 4835966400 in words is "four billion, eight hundred thirty-five million, nine hundred sixty-six thousand, four hundred".