398772480 has 144 divisors (see below), whose sum is σ = 1286248320. Its totient is φ = 105283584.

The previous prime is 398772469. The next prime is 398772509. The reversal of 398772480 is 84277893.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 433461 + ... + 434379.

It is an arithmetic number, because the mean of its divisors is an integer number (8932280).

Almost surely, 2^398772480 is an apocalyptic number.

398772480 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 398772480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643124160).

398772480 is an abundant number, since it is smaller than the sum of its proper divisors (887475840).

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

398772480 is a wasteful number, since it uses less digits than its factorization.

398772480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1056 (or 1042 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 48.

The square root of 398772480 is about 19969.2884199713. The cubic root of 398772480 is about 736.0518236981.

It can be divided in two parts, 3987 and 72480, that added together give a palindrome (76467).

The spelling of 398772480 in words is "three hundred ninety-eight million, seven hundred seventy-two thousand, four hundred eighty".