203628480 has 168 divisors, whose sum is σ = 711043536. Its totient is φ = 49336320.

The previous prime is 203628457. The next prime is 203628559. The reversal of 203628480 is 84826302.

It is a super-2 number, since 2×203628480² = 82929115734220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 115284 + ... + 117036.

It is an arithmetic number, because the mean of its divisors is an integer number (4232402).

Almost surely, 2^203628480 is an apocalyptic number.

203628480 is a gapful number since it is divisible by the number (20) 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 203628480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355521768).

203628480 is an abundant number, since it is smaller than the sum of its proper divisors (507415056).

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

203628480 is a wasteful number, since it uses less digits than its factorization.

203628480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1795 (or 1774 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 203628480 is about 14269.8451288022. The cubic root of 203628480 is about 588.3189532465.

The spelling of 203628480 in words is "two hundred three million, six hundred twenty-eight thousand, four hundred eighty".