4726958400 has 252 divisors, whose sum is σ = 16969162912. Its totient is φ = 1247892480.

The previous prime is 4726958393. The next prime is 4726958417. The reversal of 4726958400 is 48596274.

It is a happy number.

4726958400 is a `hidden beast` number, since 4 + 7 + 2 + 69 + 584 + 0 + 0 = 666.

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, 1481607 + ... + 1484793.

Almost surely, 2^4726958400 is an apocalyptic number.

4726958400 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 4726958400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8484581456).

4726958400 is an abundant number, since it is smaller than the sum of its proper divisors (12242204512).

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

4726958400 is a wasteful number, since it uses less digits than its factorization.

4726958400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3318 (or 3300 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 4726958400 is about 68752.8792124374. The cubic root of 4726958400 is about 1678.2652160650.

The spelling of 4726958400 in words is "four billion, seven hundred twenty-six million, nine hundred fifty-eight thousand, four hundred".