454614072 has 64 divisors (see below), whose sum is σ = 1263288960. Its totient is φ = 135158400.

The previous prime is 454614053. The next prime is 454614073. The reversal of 454614072 is 270416454.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (454614073) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2254 + ... + 30237.

It is an arithmetic number, because the mean of its divisors is an integer number (19738890).

Almost surely, 2^454614072 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 454614072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631644480).

454614072 is an abundant number, since it is smaller than the sum of its proper divisors (808674888).

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

454614072 is a wasteful number, since it uses less digits than its factorization.

454614072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32564 (or 32560 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 454614072 is about 21321.6807967852. The cubic root of 454614072 is about 768.9196475618.

The spelling of 454614072 in words is "four hundred fifty-four million, six hundred fourteen thousand, seventy-two".