495000450 has 192 divisors, whose sum is σ = 1592160000. Its totient is φ = 113037120.

The previous prime is 495000439. The next prime is 495000461. The reversal of 495000450 is 54000594.

It is an interprime number because it is at equal distance from previous prime (495000439) and next prime (495000461).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 462516 + ... + 463584.

It is an arithmetic number, because the mean of its divisors is an integer number (8292500).

Almost surely, 2^495000450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 495000450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796080000).

495000450 is an abundant number, since it is smaller than the sum of its proper divisors (1097159550).

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

495000450 is a wasteful number, since it uses less digits than its factorization.

495000450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1111 (or 1086 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 495000450 is about 22248.6055742826. The cubic root of 495000450 is about 791.0462290574.

The spelling of 495000450 in words is "four hundred ninety-five million, four hundred fifty", and thus it is an aban number.