1014451400 has 48 divisors (see below), whose sum is σ = 2365445700. Its totient is φ = 404602880.

The previous prime is 1014451393. The next prime is 1014451433. The reversal of 1014451400 is 41544101.

It can be written as a sum of positive squares in 6 ways, for example, as 370408516 + 644042884 = 19246^2 + 25378^2 .

It is a super-2 number, since 2×1014451400² = 2058223285923920000, which contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 63416 + ... + 77784.

Almost surely, 2^1014451400 is an apocalyptic number.

1014451400 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 1014451400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1182722850).

1014451400 is an abundant number, since it is smaller than the sum of its proper divisors (1350994300).

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

1014451400 is a wasteful number, since it uses less digits than its factorization.

1014451400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14738 (or 14729 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 1014451400 is about 31850.4536859367. The cubic root of 1014451400 is about 1004.7941130845.

Adding to 1014451400 its reverse (41544101), we get a palindrome (1055995501).

The spelling of 1014451400 in words is "one billion, fourteen million, four hundred fifty-one thousand, four hundred".