414346164480 has 576 divisors, whose sum is σ = 1530288184320. Its totient is φ = 106078961664.

The previous prime is 414346164461. The next prime is 414346164497. The reversal of 414346164480 is 84461643414.

414346164480 is a `hidden beast` number, since 4 + 1 + 4 + 3 + 4 + 6 + 164 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 86086554 + ... + 86091366.

It is an arithmetic number, because the mean of its divisors is an integer number (2656750320).

Almost surely, 2^414346164480 is an apocalyptic number.

414346164480 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 414346164480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (765144092160).

414346164480 is an abundant number, since it is smaller than the sum of its proper divisors (1115942019840).

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

414346164480 is a wasteful number, since it uses less digits than its factorization.

414346164480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4943 (or 4923 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 414346164480 in words is "four hundred fourteen billion, three hundred forty-six million, one hundred sixty-four thousand, four hundred eighty".