4906526400 has 630 divisors, whose sum is σ = 19304701548. Its totient is φ = 1222041600.

The previous prime is 4906526393. The next prime is 4906526431. The reversal of 4906526400 is 46256094.

4906526400 is a `hidden beast` number, since 4 + 9 + 0 + 6 + 5 + 2 + 640 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 37454335 + ... + 37454465.

Almost surely, 2^4906526400 is an apocalyptic number.

4906526400 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 4906526400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9652350774).

4906526400 is an abundant number, since it is smaller than the sum of its proper divisors (14398175148).

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

4906526400 is a wasteful number, since it uses less digits than its factorization.

4906526400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 4906526400 is about 70046.6016306287. The cubic root of 4906526400 is about 1699.2530051453.

The spelling of 4906526400 in words is "four billion, nine hundred six million, five hundred twenty-six thousand, four hundred".