1051414200 has 144 divisors (see below), whose sum is σ = 3626661480. Its totient is φ = 272782080.

The previous prime is 1051414193. The next prime is 1051414201. The reversal of 1051414200 is 24141501.

1051414200 is a `hidden beast` number, since 1 + 0 + 51 + 414 + 200 = 666.

It is a super-2 number, since 2×1051414200² = 2210943639923280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1051414201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 58707 + ... + 74493.

Almost surely, 2^1051414200 is an apocalyptic number.

1051414200 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 1051414200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1813330740).

1051414200 is an abundant number, since it is smaller than the sum of its proper divisors (2575247280).

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

1051414200 is a wasteful number, since it uses less digits than its factorization.

1051414200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15846 (or 15834 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 1051414200 is about 32425.5177290972. The cubic root of 1051414200 is about 1016.8524656693.

Adding to 1051414200 its reverse (24141501), we get a palindrome (1075555701).

The spelling of 1051414200 in words is "one billion, fifty-one million, four hundred fourteen thousand, two hundred".