454932072 has 192 divisors, whose sum is σ = 1499601600. Its totient is φ = 127370880.

The previous prime is 454932031. The next prime is 454932113. The reversal of 454932072 is 270239454.

It is an interprime number because it is at equal distance from previous prime (454932031) and next prime (454932113).

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

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, 560547 + ... + 561357.

It is an arithmetic number, because the mean of its divisors is an integer number (7810425).

Almost surely, 2^454932072 is an apocalyptic number.

454932072 is a gapful number since it is divisible by the number (42) 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 454932072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749800800).

454932072 is an abundant number, since it is smaller than the sum of its proper divisors (1044669528).

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

454932072 is a wasteful number, since it uses less digits than its factorization.

454932072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 893 (or 876 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 454932072 is about 21329.1366913900. The cubic root of 454932072 is about 769.0988907723.

The spelling of 454932072 in words is "four hundred fifty-four million, nine hundred thirty-two thousand, seventy-two".