450098376 has 192 divisors, whose sum is σ = 1416683520. Its totient is φ = 116663040.

The previous prime is 450098371. The next prime is 450098401. The reversal of 450098376 is 673890054.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (450098371) 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, 2356441 + ... + 2356631.

It is an arithmetic number, because the mean of its divisors is an integer number (7378560).

Almost surely, 2^450098376 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 450098376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708341760).

450098376 is an abundant number, since it is smaller than the sum of its proper divisors (966585144).

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

450098376 is a wasteful number, since it uses less digits than its factorization.

450098376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 450098376 is about 21215.5220534400. The cubic root of 450098376 is about 766.3652701446.

The spelling of 450098376 in words is "four hundred fifty million, ninety-eight thousand, three hundred seventy-six".