413461098 has 52 divisors (see below), whose sum is σ = 932678370. Its totient is φ = 137466072.

The previous prime is 413461067. The next prime is 413461117. The reversal of 413461098 is 890164314.

413461098 is a `hidden beast` number, since 4 + 1 + 34 + 610 + 9 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 387420489 + 26040609 = 19683^2 + 5103^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 25 ways as a sum of consecutive naturals, for example, 1062688 + ... + 1063076.

Almost surely, 2^413461098 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413461098, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466339185).

413461098 is an abundant number, since it is smaller than the sum of its proper divisors (519217272).

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

413461098 is an frugal number, since it uses more digits than its factorization.

413461098 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 413461098 is about 20333.7428428708. The cubic root of 413461098 is about 744.9804646320.

The spelling of 413461098 in words is "four hundred thirteen million, four hundred sixty-one thousand, ninety-eight".