4705920 has 192 divisors, whose sum is σ = 17503200. Its totient is φ = 1161216.

The previous prime is 4705903. The next prime is 4705931. The reversal of 4705920 is 295074.

4705920 is a `hidden beast` number, since 4 + 70 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 109419 + ... + 109461.

Almost surely, 2^4705920 is an apocalyptic number.

4705920 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 4705920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8751600).

4705920 is an abundant number, since it is smaller than the sum of its proper divisors (12797280).

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

4705920 is a wasteful number, since it uses less digits than its factorization.

4705920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 4705920 is about 2169.3132553875. The cubic root of 4705920 is about 167.5771679775.

It can be divided in two parts, 4705 and 920, that added together give a square (5625 = 75²).

The spelling of 4705920 in words is "four million, seven hundred five thousand, nine hundred twenty".