402435264 has 224 divisors, whose sum is σ = 1343655936. Its totient is φ = 103265280.

The previous prime is 402435263. The next prime is 402435269. The reversal of 402435264 is 462534204.

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (402435263) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2409709 + ... + 2409875.

It is an arithmetic number, because the mean of its divisors is an integer number (5998464).

Almost surely, 2^402435264 is an apocalyptic number.

402435264 is a gapful number since it is divisible by the number (44) 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 402435264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671827968).

402435264 is an abundant number, since it is smaller than the sum of its proper divisors (941220672).

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

402435264 is a wasteful number, since it uses less digits than its factorization.

402435264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

The square root of 402435264 is about 20060.7892167781. The cubic root of 402435264 is about 738.2985403601.

Adding to 402435264 its reverse (462534204), we get a palindrome (864969468).

The spelling of 402435264 in words is "four hundred two million, four hundred thirty-five thousand, two hundred sixty-four".