413554000 has 80 divisors (see below), whose sum is σ = 1052700480. Its totient is φ = 156700800.

The previous prime is 413553977. The next prime is 413554013. The reversal of 413554000 is 455314.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32559 + ... + 43441.

It is an arithmetic number, because the mean of its divisors is an integer number (13158756).

Almost surely, 2^413554000 is an apocalyptic number.

413554000 is a gapful number since it is divisible by the number (40) 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 413554000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526350240).

413554000 is an abundant number, since it is smaller than the sum of its proper divisors (639146480).

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

413554000 is a wasteful number, since it uses less digits than its factorization.

413554000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10925 (or 10909 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 413554000 is about 20336.0271439630. The cubic root of 413554000 is about 745.0362578633.

The spelling of 413554000 in words is "four hundred thirteen million, five hundred fifty-four thousand".