531393408 has 384 divisors, whose sum is σ = 1946992320. Its totient is φ = 135364608.

The previous prime is 531393407. The next prime is 531393409. The reversal of 531393408 is 804393135.

It is an interprime number because it is at equal distance from previous prime (531393407) and next prime (531393409).

It is a tau number, because it is divible by the number of its divisors (384).

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 (531393407) 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, 3878716 + ... + 3878852.

Almost surely, 2^531393408 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 531393408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (973496160).

531393408 is an abundant number, since it is smaller than the sum of its proper divisors (1415598912).

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

531393408 is a wasteful number, since it uses less digits than its factorization.

531393408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 531393408 is about 23051.9718896237. The cubic root of 531393408 is about 809.9758200372.

The spelling of 531393408 in words is "five hundred thirty-one million, three hundred ninety-three thousand, four hundred eight".