454352976 has 400 divisors, whose sum is σ = 1706855040. Its totient is φ = 113218560.

The previous prime is 454352959. The next prime is 454352993. The reversal of 454352976 is 679253454.

454352976 is a `hidden beast` number, since 4 + 54 + 3 + 529 + 76 = 666.

It is an interprime number because it is at equal distance from previous prime (454352959) and next prime (454352993).

Its product of digits (907200) is a multiple of the sum of its prime factors (224).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2893890 + ... + 2894046.

Almost surely, 2^454352976 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 454352976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (853427520).

454352976 is an abundant number, since it is smaller than the sum of its proper divisors (1252502064).

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

454352976 is a wasteful number, since it uses less digits than its factorization.

454352976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 209 counting only the distinct ones).

The product of its digits is 907200, while the sum is 45.

The square root of 454352976 is about 21315.5571355759. The cubic root of 454352976 is about 768.7724162411.

It can be divided in two parts, 4543529 and 76, that added together give a triangular number (4543605 = T₃₀₁₄).

The spelling of 454352976 in words is "four hundred fifty-four million, three hundred fifty-two thousand, nine hundred seventy-six".