641406480 has 240 divisors, whose sum is σ = 2355057600. Its totient is φ = 143447040.

The previous prime is 641406449. The next prime is 641406511. The reversal of 641406480 is 84604146.

It is an interprime number because it is at equal distance from previous prime (641406449) and next prime (641406511).

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×641406480³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 376671 + ... + 378369.

It is an arithmetic number, because the mean of its divisors is an integer number (9812740).

Almost surely, 2^641406480 is an apocalyptic number.

641406480 is a gapful number since it is divisible by the number (60) 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 641406480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1177528800).

641406480 is an abundant number, since it is smaller than the sum of its proper divisors (1713651120).

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

641406480 is a wasteful number, since it uses less digits than its factorization.

641406480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1750 (or 1733 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 641406480 is about 25326.0040274813. The cubic root of 641406480 is about 862.4046994052.

The spelling of 641406480 in words is "six hundred forty-one million, four hundred six thousand, four hundred eighty".