4929606400 has 108 divisors (see below), whose sum is σ = 12284758864. Its totient is φ = 1958400000.

The previous prime is 4929606389. The next prime is 4929606413. The reversal of 4929606400 is 46069294.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 963850 + ... + 968950.

Almost surely, 2^4929606400 is an apocalyptic number.

4929606400 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 4929606400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6142379432).

4929606400 is an abundant number, since it is smaller than the sum of its proper divisors (7355152464).

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

4929606400 is a wasteful number, since it uses less digits than its factorization.

4929606400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5278 (or 5259 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 40.

The square root of 4929606400 is about 70211.1558087459. The cubic root of 4929606400 is about 1701.9132323714.

The spelling of 4929606400 in words is "four billion, nine hundred twenty-nine million, six hundred six thousand, four hundred".