454429625832 has 384 divisors, whose sum is σ = 1621541376000. Its totient is φ = 111615459840.

The previous prime is 454429625809. The next prime is 454429625833. The reversal of 454429625832 is 238526924454.

454429625832 is a `hidden beast` number, since 4 + 5 + 4 + 4 + 2 + 9 + 625 + 8 + 3 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (454429625833) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7313857 + ... + 7375727.

It is an arithmetic number, because the mean of its divisors is an integer number (4222764000).

Almost surely, 2^454429625832 is an apocalyptic number.

454429625832 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 454429625832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (810770688000).

454429625832 is an abundant number, since it is smaller than the sum of its proper divisors (1167111750168).

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

454429625832 is a wasteful number, since it uses less digits than its factorization.

454429625832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61981 (or 61974 counting only the distinct ones).

The product of its digits is 16588800, while the sum is 54.

The spelling of 454429625832 in words is "four hundred fifty-four billion, four hundred twenty-nine million, six hundred twenty-five thousand, eight hundred thirty-two".