414053400 has 48 divisors (see below), whose sum is σ = 1283567400. Its totient is φ = 110414080.

The previous prime is 414053389. The next prime is 414053417. The reversal of 414053400 is 4350414.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 344445 + ... + 345644.

Almost surely, 2^414053400 is an apocalyptic number.

414053400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414053400 is an abundant number, since it is smaller than the sum of its proper divisors (869514000).

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

414053400 is a wasteful number, since it uses less digits than its factorization.

414053400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690108 (or 690099 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 414053400 is about 20348.3021404735. The cubic root of 414053400 is about 745.3360344656.

The spelling of 414053400 in words is "four hundred fourteen million, fifty-three thousand, four hundred".