1450556400 has 60 divisors (see below), whose sum is σ = 4646619512. Its totient is φ = 386814720.

The previous prime is 1450556381. The next prime is 1450556431. The reversal of 1450556400 is 46550541.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×1450556400² = 4208227739161920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 11 ways as a sum of consecutive naturals, for example, 603199 + ... + 605598.

Almost surely, 2^1450556400 is an apocalyptic number.

1450556400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1450556400 is an abundant number, since it is smaller than the sum of its proper divisors (3196063112).

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

1450556400 is a wasteful number, since it uses less digits than its factorization.

1450556400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1208818 (or 1208807 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The square root of 1450556400 is about 38086.1707185167. The cubic root of 1450556400 is about 1131.9959503241.

It can be divided in two parts, 1450556 and 400, that added together give a triangular number (1450956 = T₁₇₀₃).

The spelling of 1450556400 in words is "one billion, four hundred fifty million, five hundred fifty-six thousand, four hundred".