335377020 has 192 divisors, whose sum is σ = 1102574592. Its totient is φ = 75264000.

The previous prime is 335377019. The next prime is 335377043. The reversal of 335377020 is 20773533.

It is a super-2 number, since 2×335377020² = 224955491088160800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 796410 + ... + 796830.

It is an arithmetic number, because the mean of its divisors is an integer number (5742576).

Almost surely, 2^335377020 is an apocalyptic number.

335377020 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 335377020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551287296).

335377020 is an abundant number, since it is smaller than the sum of its proper divisors (767197572).

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

335377020 is a wasteful number, since it uses less digits than its factorization.

335377020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 13230, while the sum is 30.

The square root of 335377020 is about 18313.3017230646. The cubic root of 335377020 is about 694.7754014351.

The spelling of 335377020 in words is "three hundred thirty-five million, three hundred seventy-seven thousand, twenty".