413454000 has 80 divisors (see below), whose sum is σ = 1332995040. Its totient is φ = 110252800.

The previous prime is 413453993. The next prime is 413454011. The reversal of 413454000 is 454314.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28455 + ... + 40454.

It is an arithmetic number, because the mean of its divisors is an integer number (16662438).

Almost surely, 2^413454000 is an apocalyptic number.

413454000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413454000 is an abundant number, since it is smaller than the sum of its proper divisors (919541040).

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

413454000 is a wasteful number, since it uses less digits than its factorization.

413454000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68935 (or 68919 counting only the distinct ones).

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

The square root of 413454000 is about 20333.5683046533. The cubic root of 413454000 is about 744.9762015130.

The spelling of 413454000 in words is "four hundred thirteen million, four hundred fifty-four thousand".