536941440 has 512 divisors, whose sum is σ = 2279577600. Its totient is φ = 116785152.

The previous prime is 536941429. The next prime is 536941441. The reversal of 536941440 is 44149635.

It is a super-2 number, since 2×536941440² = 576612219978547200, which contains 22 as substring.

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 = 536941395 and 536941404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (536941441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2781984 + ... + 2782176.

It is an arithmetic number, because the mean of its divisors is an integer number (4452300).

Almost surely, 2^536941440 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 536941440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1139788800).

536941440 is an abundant number, since it is smaller than the sum of its proper divisors (1742636160).

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

536941440 is a wasteful number, since it uses less digits than its factorization.

536941440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 536941440 is about 23171.9968928014. The cubic root of 536941440 is about 812.7849269737.

The spelling of 536941440 in words is "five hundred thirty-six million, nine hundred forty-one thousand, four hundred forty".