450356088 has 128 divisors (see below), whose sum is σ = 1458777600. Its totient is φ = 112513536.

The previous prime is 450356087. The next prime is 450356089. The reversal of 450356088 is 880653054.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (450356087) and next prime (450356089).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450356083) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36070 + ... + 46922.

It is an arithmetic number, because the mean of its divisors is an integer number (11396700).

Almost surely, 2^450356088 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 450356088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729388800).

450356088 is an abundant number, since it is smaller than the sum of its proper divisors (1008421512).

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

450356088 is a wasteful number, since it uses less digits than its factorization.

450356088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10901 (or 10897 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The square root of 450356088 is about 21221.5948505290. The cubic root of 450356088 is about 766.5115076893.

The spelling of 450356088 in words is "four hundred fifty million, three hundred fifty-six thousand, eighty-eight".