1450420400 has 120 divisors (see below), whose sum is σ = 4093998384. Its totient is φ = 486835200.

The previous prime is 1450420379. The next prime is 1450420421. The reversal of 1450420400 is 40240541.

It is an interprime number because it is at equal distance from previous prime (1450420379) and next prime (1450420421).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44522 + ... + 69878.

Almost surely, 2^1450420400 is an apocalyptic number.

1450420400 is a gapful number since it is divisible by the number (10) 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 1450420400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2046999192).

1450420400 is an abundant number, since it is smaller than the sum of its proper divisors (2643577984).

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

1450420400 is a wasteful number, since it uses less digits than its factorization.

1450420400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25399 (or 25388 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 1450420400 is about 38084.3852517013. The cubic root of 1450420400 is about 1131.9605716559.

Adding to 1450420400 its reverse (40240541), we get a palindrome (1490660941).

The spelling of 1450420400 in words is "one billion, four hundred fifty million, four hundred twenty thousand, four hundred".