398177280 has 132 divisors (see below), whose sum is σ = 1379833572. Its totient is φ = 106168320.

The previous prime is 398177267. The next prime is 398177303. The reversal of 398177280 is 82771893.

It can be written as a sum of positive squares in 2 ways, for example, as 61968384 + 336208896 = 7872^2 + 18336^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41760 + ... + 50400.

Almost surely, 2^398177280 is an apocalyptic number.

398177280 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 398177280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689916786).

398177280 is an abundant number, since it is smaller than the sum of its proper divisors (981656292).

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

398177280 is a wasteful number, since it uses less digits than its factorization.

398177280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8672 (or 8651 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 398177280 is about 19954.3799703223. The cubic root of 398177280 is about 735.6854358337.

The spelling of 398177280 in words is "three hundred ninety-eight million, one hundred seventy-seven thousand, two hundred eighty".