4726982400 has 216 divisors, whose sum is σ = 17829108864. Its totient is φ = 1080422400.

The previous prime is 4726982383. The next prime is 4726982401. The reversal of 4726982400 is 42896274.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4726982401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 116815 + ... + 151985.

Almost surely, 2^4726982400 is an apocalyptic number.

4726982400 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 4726982400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8914554432).

4726982400 is an abundant number, since it is smaller than the sum of its proper divisors (13102126464).

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

4726982400 is a wasteful number, since it uses less digits than its factorization.

4726982400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35207 (or 35188 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 4726982400 is about 68753.0537503608. The cubic root of 4726982400 is about 1678.2680563902.

The spelling of 4726982400 in words is "four billion, seven hundred twenty-six million, nine hundred eighty-two thousand, four hundred".