4926407904 has 384 divisors, whose sum is σ = 16907304960. Its totient is φ = 1379980800.

The previous prime is 4926407887. The next prime is 4926407911. The reversal of 4926407904 is 4097046294.

It is a self number, because there is not a number n which added to its sum of digits gives 4926407904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6775989 + ... + 6776715.

It is an arithmetic number, because the mean of its divisors is an integer number (44029440).

Almost surely, 2^4926407904 is an apocalyptic number.

4926407904 is a gapful number since it is divisible by the number (44) 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 4926407904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8453652480).

4926407904 is an abundant number, since it is smaller than the sum of its proper divisors (11980897056).

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

4926407904 is a wasteful number, since it uses less digits than its factorization.

4926407904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 811 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 4926407904 is about 70188.3744219796. The cubic root of 4926407904 is about 1701.5450663712.

The spelling of 4926407904 in words is "four billion, nine hundred twenty-six million, four hundred seven thousand, nine hundred four".