398407536 has 90 divisors (see below), whose sum is σ = 1152515520. Its totient is φ = 128473920.

The previous prime is 398407511. The next prime is 398407543. The reversal of 398407536 is 635704893.

398407536 is a `hidden beast` number, since 39 + 84 + 0 + 7 + 536 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 398407491 and 398407500.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 136945 + ... + 139823.

It is an arithmetic number, because the mean of its divisors is an integer number (12805728).

Almost surely, 2^398407536 is an apocalyptic number.

398407536 is a gapful number since it is divisible by the number (36) 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 398407536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576257760).

398407536 is an abundant number, since it is smaller than the sum of its proper divisors (754107984).

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

398407536 is a wasteful number, since it uses less digits than its factorization.

398407536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2955 (or 2915 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 398407536 is about 19960.1486968409. The cubic root of 398407536 is about 735.8272180266.

The spelling of 398407536 in words is "three hundred ninety-eight million, four hundred seven thousand, five hundred thirty-six".