1200414720 has 112 divisors (see below), whose sum is σ = 3841485840. Its totient is φ = 320077824.

The previous prime is 1200414713. The next prime is 1200414749. The reversal of 1200414720 is 274140021.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 117996 + ... + 127764.

Almost surely, 2^1200414720 is an apocalyptic number.

1200414720 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 1200414720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1920742920).

1200414720 is an abundant number, since it is smaller than the sum of its proper divisors (2641071120).

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

1200414720 is an frugal number, since it uses more digits than its factorization.

1200414720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9803 (or 9779 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 1200414720 is about 34647.0016018703. The cubic root of 1200414720 is about 1062.7809733499.

Adding to 1200414720 its reverse (274140021), we get a palindrome (1474554741).

The spelling of 1200414720 in words is "one billion, two hundred million, four hundred fourteen thousand, seven hundred twenty".