450283667400 has 432 divisors, whose sum is σ = 1761924857940. Its totient is φ = 102756326400.

The previous prime is 450283667371. The next prime is 450283667417. The reversal of 450283667400 is 4766382054.

450283667400 is a `hidden beast` number, since 4 + 502 + 83 + 6 + 67 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 221315675364 + 228967992036 = 470442^2 + 478506^2 .

It is a super-2 number, since 2×450283667400² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 59707630 + ... + 59715170.

Almost surely, 2^450283667400 is an apocalyptic number.

450283667400 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 450283667400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (880962428970).

450283667400 is an abundant number, since it is smaller than the sum of its proper divisors (1311641190540).

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

450283667400 is a wasteful number, since it uses less digits than its factorization.

450283667400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8254 (or 8235 counting only the distinct ones).

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

The spelling of 450283667400 in words is "four hundred fifty billion, two hundred eighty-three million, six hundred sixty-seven thousand, four hundred".