980401950 has 288 divisors, whose sum is σ = 3036582432. Its totient is φ = 224640000.

The previous prime is 980401937. The next prime is 980401969. The reversal of 980401950 is 59104089.

It is a super-2 number, since 2×980401950² = 1922375967127605000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9706900 + ... + 9707000.

It is an arithmetic number, because the mean of its divisors is an integer number (10543689).

Almost surely, 2^980401950 is an apocalyptic number.

980401950 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 980401950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1518291216).

980401950 is an abundant number, since it is smaller than the sum of its proper divisors (2056180482).

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

980401950 is a wasteful number, since it uses less digits than its factorization.

980401950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 980401950 is about 31311.3709377280. The cubic root of 980401950 is about 993.4241699083.

The spelling of 980401950 in words is "nine hundred eighty million, four hundred one thousand, nine hundred fifty".