454933248 has 288 divisors, whose sum is σ = 1550169600. Its totient is φ = 117411840.

The previous prime is 454933229. The next prime is 454933279. The reversal of 454933248 is 842339454.

It is a Harshad number since it is a multiple of its sum of digits (42).

Its product of digits (414720) is a multiple of the sum of its prime divisors (180).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2897586 + ... + 2897742.

Almost surely, 2^454933248 is an apocalyptic number.

454933248 is a gapful number since it is divisible by the number (48) 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 454933248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (775084800).

454933248 is an abundant number, since it is smaller than the sum of its proper divisors (1095236352).

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

454933248 is a wasteful number, since it uses less digits than its factorization.

454933248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 180 counting only the distinct ones).

The product of its digits is 414720, while the sum is 42.

The square root of 454933248 is about 21329.1642592953. The cubic root of 454933248 is about 769.0995534789.

The spelling of 454933248 in words is "four hundred fifty-four million, nine hundred thirty-three thousand, two hundred forty-eight".