335940480 has 128 divisors (see below), whose sum is σ = 1189850400. Its totient is φ = 89579520.

The previous prime is 335940439. The next prime is 335940487. The reversal of 335940480 is 84049533.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×335940480² = 225712012205260800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (335940487) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7560 + ... + 27000.

Almost surely, 2^335940480 is an apocalyptic number.

335940480 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 335940480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594925200).

335940480 is an abundant number, since it is smaller than the sum of its proper divisors (853909920).

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

335940480 is a wasteful number, since it uses less digits than its factorization.

335940480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19469 (or 19451 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 335940480 is about 18328.6791668140. The cubic root of 335940480 is about 695.1642763337.

The spelling of 335940480 in words is "three hundred thirty-five million, nine hundred forty thousand, four hundred eighty".