398121480 has 288 divisors, whose sum is σ = 1413561240. Its totient is φ = 100776960.

The previous prime is 398121473. The next prime is 398121481. The reversal of 398121480 is 84121893.

398121480 = 1374² + 1375² + ... + 1558².

It can be written as a sum of positive squares in 4 ways, for example, as 300467556 + 97653924 = 17334^2 + 9882^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (398121481) 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, 9710260 + ... + 9710300.

Almost surely, 2^398121480 is an apocalyptic number.

398121480 is a gapful number since it is divisible by the number (30) 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 398121480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706780620).

398121480 is an abundant number, since it is smaller than the sum of its proper divisors (1015439760).

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

398121480 is an equidigital number, since it uses as much as digits as its factorization.

398121480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 398121480 is about 19952.9817320620. The cubic root of 398121480 is about 735.6510682566.

The spelling of 398121480 in words is "three hundred ninety-eight million, one hundred twenty-one thousand, four hundred eighty".