980431200 has 432 divisors, whose sum is σ = 4041928800. Its totient is φ = 223534080.

The previous prime is 980431187. The next prime is 980431201. The reversal of 980431200 is 2134089.

It is a super-2 number, since 2×980431200² = 1922490675866880000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (980431201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2469402 + ... + 2469798.

Almost surely, 2^980431200 is an apocalyptic number.

980431200 is a gapful number since it is divisible by the number (90) 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 980431200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2020964400).

980431200 is an abundant number, since it is smaller than the sum of its proper divisors (3061497600).

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

980431200 is a wasteful number, since it uses less digits than its factorization.

980431200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 980431200 is about 31311.8380169545. The cubic root of 980431200 is about 993.4340493147.

Adding to 980431200 its reverse (2134089), we get a palindrome (982565289).

The spelling of 980431200 in words is "nine hundred eighty million, four hundred thirty-one thousand, two hundred".