398380752 has 480 divisors, whose sum is σ = 1535139840. Its totient is φ = 93312000.

The previous prime is 398380751. The next prime is 398380753. The reversal of 398380752 is 257083893.

It is an interprime number because it is at equal distance from previous prime (398380751) and next prime (398380753).

It is a junction number, because it is equal to n+sod(n) for n = 398380698 and 398380707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (398380751) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6530802 + ... + 6530862.

It is an arithmetic number, because the mean of its divisors is an integer number (3198208).

Almost surely, 2^398380752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 398380752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (767569920).

398380752 is an abundant number, since it is smaller than the sum of its proper divisors (1136759088).

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

398380752 is a wasteful number, since it uses less digits than its factorization.

398380752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 398380752 is about 19959.4777486787. The cubic root of 398380752 is about 735.8107283470.

The spelling of 398380752 in words is "three hundred ninety-eight million, three hundred eighty thousand, seven hundred fifty-two".