454084164240 has 120 divisors (see below), whose sum is σ = 1637483140800. Its totient is φ = 103790663424.

The previous prime is 454084164139. The next prime is 454084164251. The reversal of 454084164240 is 42461480454.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 454084164192 and 454084164201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19294540 + ... + 19318059.

It is an arithmetic number, because the mean of its divisors is an integer number (13645692840).

Almost surely, 2^454084164240 is an apocalyptic number.

454084164240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

454084164240 is an abundant number, since it is smaller than the sum of its proper divisors (1183398976560).

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

454084164240 is a wasteful number, since it uses less digits than its factorization.

454084164240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38612629 (or 38612616 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 42.

The spelling of 454084164240 in words is "four hundred fifty-four billion, eighty-four million, one hundred sixty-four thousand, two hundred forty".