335400516 has 72 divisors (see below), whose sum is σ = 946449504. Its totient is φ = 99267840.

The previous prime is 335400511. The next prime is 335400529. The reversal of 335400516 is 615004533.

It is a super-2 number, since 2×335400516² = 224987012266132512, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 335400516.

It is not an unprimeable number, because it can be changed into a prime (335400511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7180 + ... + 26876.

It is an arithmetic number, because the mean of its divisors is an integer number (13145132).

Almost surely, 2^335400516 is an apocalyptic number.

335400516 is a gapful number since it is divisible by the number (36) 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 335400516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473224752).

335400516 is an abundant number, since it is smaller than the sum of its proper divisors (611048988).

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

335400516 is a wasteful number, since it uses less digits than its factorization.

335400516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19761 (or 19756 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 335400516 is about 18313.9432127546. The cubic root of 335400516 is about 694.7916260228.

The spelling of 335400516 in words is "three hundred thirty-five million, four hundred thousand, five hundred sixteen".