4749966400 has 63 divisors (see below), whose sum is σ = 11694673461. Its totient is φ = 1898883840.

The previous prime is 4749966359. The next prime is 4749966421. The reversal of 4749966400 is 46699474.

It is a happy number.

The square root of 4749966400 is 68920.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1709987904 + 3039978496 = 41352^2 + 55136^2 .

It is a super-2 number, since 2×4749966400² = 45124361602257920000, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2755939 + ... + 2757661.

Almost surely, 2^4749966400 is an apocalyptic number.

4749966400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4749966400 is the 68920-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4749966400

4749966400 is an abundant number, since it is smaller than the sum of its proper divisors (6944707061).

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

4749966400 is an frugal number, since it uses more digits than its factorization.

4749966400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3468 (or 1730 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 49.

The cubic root of 4749966400 is about 1680.9837397981.

Multiplying 4749966400 by its sum of digits (49), we get a square (232748353600 = 482440²).

The spelling of 4749966400 in words is "four billion, seven hundred forty-nine million, nine hundred sixty-six thousand, four hundred".