4692979200 has 960 divisors, whose sum is σ = 20458690560. Its totient is φ = 920125440.

The previous prime is 4692979189. The next prime is 4692979223. The reversal of 4692979200 is 29792964.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 4692979200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 59404761 + ... + 59404839.

It is an arithmetic number, because the mean of its divisors is an integer number (21311136).

Almost surely, 2^4692979200 is an apocalyptic number.

4692979200 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 4692979200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10229345280).

4692979200 is an abundant number, since it is smaller than the sum of its proper divisors (15765711360).

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

4692979200 is a wasteful number, since it uses less digits than its factorization.

4692979200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 48.

The square root of 4692979200 is about 68505.3224209623. The cubic root of 4692979200 is about 1674.2342025466.

The spelling of 4692979200 in words is "four billion, six hundred ninety-two million, nine hundred seventy-nine thousand, two hundred".