335125920 has 96 divisors (see below), whose sum is σ = 1062609408. Its totient is φ = 88777728.

The previous prime is 335125907. The next prime is 335125969. The reversal of 335125920 is 29521533.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×335125920² = 224618764511692800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73137 + ... + 77583.

It is an arithmetic number, because the mean of its divisors is an integer number (11068848).

Almost surely, 2^335125920 is an apocalyptic number.

335125920 is a gapful number since it is divisible by the number (30) 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 335125920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531304704).

335125920 is an abundant number, since it is smaller than the sum of its proper divisors (727483488).

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

335125920 is a wasteful number, since it uses less digits than its factorization.

335125920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4622 (or 4614 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 30.

The square root of 335125920 is about 18306.4447668028. Note that the first 3 decimals coincide. The cubic root of 335125920 is about 694.6019631348.

The spelling of 335125920 in words is "three hundred thirty-five million, one hundred twenty-five thousand, nine hundred twenty".