413460480 has 192 divisors, whose sum is σ = 1357836480. Its totient is φ = 107347968.

The previous prime is 413460479. The next prime is 413460491. The reversal of 413460480 is 84064314.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 1320804 + ... + 1321116.

It is an arithmetic number, because the mean of its divisors is an integer number (7072065).

Almost surely, 2^413460480 is an apocalyptic number.

413460480 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 413460480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678918240).

413460480 is an abundant number, since it is smaller than the sum of its proper divisors (944376000).

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

413460480 is a wasteful number, since it uses less digits than its factorization.

413460480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 413460480 is about 20333.7276464499. The cubic root of 413460480 is about 744.9800934579.

The spelling of 413460480 in words is "four hundred thirteen million, four hundred sixty thousand, four hundred eighty".