401253200 has 30 divisors (see below), whose sum is σ = 964011774. Its totient is φ = 160501120.

The previous prime is 401253173. The next prime is 401253217. The reversal of 401253200 is 2352104.

It can be written as a sum of positive squares in 3 ways, for example, as 74511424 + 326741776 = 8632^2 + 18076^2 .

It is a super-2 number, since 2×401253200² = 322008261020480000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 501167 + ... + 501966.

Almost surely, 2^401253200 is an apocalyptic number.

401253200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

401253200 is an abundant number, since it is smaller than the sum of its proper divisors (562758574).

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

401253200 is a wasteful number, since it uses less digits than its factorization.

401253200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1003151 (or 1003140 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 401253200 is about 20031.3054991431. The cubic root of 401253200 is about 737.5749689183.

The spelling of 401253200 in words is "four hundred one million, two hundred fifty-three thousand, two hundred".