398039040 has 288 divisors, whose sum is σ = 1579163040. Its totient is φ = 90832896.

The previous prime is 398039021. The next prime is 398039069. The reversal of 398039040 is 40930893.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 398038986 and 398039004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 644812 + ... + 645428.

It is an arithmetic number, because the mean of its divisors is an integer number (5483205).

Almost surely, 2^398039040 is an apocalyptic number.

398039040 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 398039040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (789581520).

398039040 is an abundant number, since it is smaller than the sum of its proper divisors (1181124000).

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

398039040 is a wasteful number, since it uses less digits than its factorization.

398039040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 657 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 398039040 is about 19950.9157684553. The cubic root of 398039040 is about 735.6002870557.

The spelling of 398039040 in words is "three hundred ninety-eight million, thirty-nine thousand, forty".