450624497400 has 2016 divisors, whose sum is σ = 2044120730400. Its totient is φ = 90326016000.

The previous prime is 450624497369. The next prime is 450624497431. The reversal of 450624497400 is 4794426054.

It is an interprime number because it is at equal distance from previous prime (450624497369) and next prime (450624497431).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 5063196556 + ... + 5063196644.

It is an arithmetic number, because the mean of its divisors is an integer number (1013948775).

Almost surely, 2^450624497400 is an apocalyptic number.

450624497400 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 450624497400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1022060365200).

450624497400 is an abundant number, since it is smaller than the sum of its proper divisors (1593496233000).

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

450624497400 is a wasteful number, since it uses less digits than its factorization.

450624497400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 450624497400 in words is "four hundred fifty billion, six hundred twenty-four million, four hundred ninety-seven thousand, four hundred".