454540464 has 240 divisors, whose sum is σ = 1539410400. Its totient is φ = 128024064.

The previous prime is 454540459. The next prime is 454540469. The reversal of 454540464 is 464045454.

454540464 is a `hidden beast` number, since 4 + 54 + 540 + 4 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (454540459) and next prime (454540469).

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

It is not an unprimeable number, because it can be changed into a prime (454540469) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2307214 + ... + 2307410.

It is an arithmetic number, because the mean of its divisors is an integer number (6414210).

Almost surely, 2^454540464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 454540464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (769705200).

454540464 is an abundant number, since it is smaller than the sum of its proper divisors (1084869936).

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

454540464 is a wasteful number, since it uses less digits than its factorization.

454540464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

The square root of 454540464 is about 21319.9545965745. The cubic root of 454540464 is about 768.8781459191.

The spelling of 454540464 in words is "four hundred fifty-four million, five hundred forty thousand, four hundred sixty-four".