335125440 has 168 divisors, whose sum is σ = 1241499168. Its totient is φ = 82483200.

The previous prime is 335125429. The next prime is 335125459. The reversal of 335125440 is 44521533.

It is a super-2 number, since 2×335125440² = 224618121070387200, which contains 22 as substring.

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, 32965 + ... + 41915.

It is an arithmetic number, because the mean of its divisors is an integer number (7389876).

Almost surely, 2^335125440 is an apocalyptic number.

335125440 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 335125440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620749584).

335125440 is an abundant number, since it is smaller than the sum of its proper divisors (906373728).

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

335125440 is a wasteful number, since it uses less digits than its factorization.

335125440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8987 (or 8974 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 335125440 is about 18306.4316566610. The cubic root of 335125440 is about 694.6016315091.

Adding to 335125440 its reverse (44521533), we get a palindrome (379646973).

The spelling of 335125440 in words is "three hundred thirty-five million, one hundred twenty-five thousand, four hundred forty".