413466048 has 84 divisors (see below), whose sum is σ = 1188072808. Its totient is φ = 137479680.

The previous prime is 413466047. The next prime is 413466133. The reversal of 413466048 is 840664314.

413466048 is a `hidden beast` number, since 4 + 1 + 3 + 46 + 604 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413466043) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 352503 + ... + 353673.

Almost surely, 2^413466048 is an apocalyptic number.

413466048 is a gapful number since it is divisible by the number (48) 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 413466048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594036404).

413466048 is an abundant number, since it is smaller than the sum of its proper divisors (774606760).

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

413466048 is a wasteful number, since it uses less digits than its factorization.

413466048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1802 (or 1789 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 413466048 is about 20333.8645613666. The cubic root of 413466048 is about 744.9834376151.

The spelling of 413466048 in words is "four hundred thirteen million, four hundred sixty-six thousand, forty-eight".