203829264 has 120 divisors (see below), whose sum is σ = 617951520. Its totient is φ = 64317888.

The previous prime is 203829257. The next prime is 203829281. The reversal of 203829264 is 462928302.

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

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, 155299 + ... + 156605.

It is an arithmetic number, because the mean of its divisors is an integer number (5149596).

Almost surely, 2^203829264 is an apocalyptic number.

203829264 is a gapful number since it is divisible by the number (24) 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 203829264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308975760).

203829264 is an abundant number, since it is smaller than the sum of its proper divisors (414122256).

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

203829264 is a wasteful number, since it uses less digits than its factorization.

203829264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1362 (or 1331 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 203829264 is about 14276.8786504614. The cubic root of 203829264 is about 588.5122566406.

It can be divided in two parts, 20382 and 9264, that added together give a triangular number (29646 = T₂₄₃).

The spelling of 203829264 in words is "two hundred three million, eight hundred twenty-nine thousand, two hundred sixty-four".