398103552 has 528 divisors, whose sum is σ = 1568165760. Its totient is φ = 97320960.

The previous prime is 398103551. The next prime is 398103557. The reversal of 398103552 is 255301893.

398103552 is a `hidden beast` number, since 3 + 98 + 10 + 3 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

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 (398103551) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23417848 + ... + 23417864.

Almost surely, 2^398103552 is an apocalyptic number.

398103552 is a gapful number since it is divisible by the number (32) 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 398103552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (784082880).

398103552 is an abundant number, since it is smaller than the sum of its proper divisors (1170062208).

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

398103552 is a wasteful number, since it uses less digits than its factorization.

398103552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 398103552 is about 19952.5324708419. The cubic root of 398103552 is about 735.6400256051.

The spelling of 398103552 in words is "three hundred ninety-eight million, one hundred three thousand, five hundred fifty-two".