454378320 has 240 divisors, whose sum is σ = 1683856512. Its totient is φ = 108887040.

The previous prime is 454378319. The next prime is 454378321. The reversal of 454378320 is 23873454.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (454378319) and next prime (454378321).

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (454378321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 815482 + ... + 816038.

Almost surely, 2^454378320 is an apocalyptic number.

454378320 is a gapful number since it is divisible by the number (40) 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 454378320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (841928256).

454378320 is an abundant number, since it is smaller than the sum of its proper divisors (1229478192).

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

454378320 is a wasteful number, since it uses less digits than its factorization.

454378320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 454378320 is about 21316.1516226546. The cubic root of 454378320 is about 768.7867101248.

The spelling of 454378320 in words is "four hundred fifty-four million, three hundred seventy-eight thousand, three hundred twenty".