1461407200 has 144 divisors (see below), whose sum is σ = 3948497280. Its totient is φ = 523712000.

The previous prime is 1461407183. The next prime is 1461407201. The reversal of 1461407200 is 27041641.

It is a super-2 number, since 2×1461407200² = 4271422008423680000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1461407201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 623631 + ... + 625969.

It is an arithmetic number, because the mean of its divisors is an integer number (27420120).

Almost surely, 2^1461407200 is an apocalyptic number.

1461407200 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 1461407200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1974248640).

1461407200 is an abundant number, since it is smaller than the sum of its proper divisors (2487090080).

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

1461407200 is a wasteful number, since it uses less digits than its factorization.

1461407200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2441 (or 2428 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 1461407200 is about 38228.3559677891. The cubic root of 1461407200 is about 1134.8115505403.

Adding to 1461407200 its reverse (27041641), we get a palindrome (1488448841).

The spelling of 1461407200 in words is "one billion, four hundred sixty-one million, four hundred seven thousand, two hundred".