536350464 has 288 divisors, whose sum is σ = 1758167040. Its totient is φ = 160247808.

The previous prime is 536350453. The next prime is 536350471. The reversal of 536350464 is 464053635.

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 zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4223169 + ... + 4223295.

Almost surely, 2^536350464 is an apocalyptic number.

536350464 is a gapful number since it is divisible by the number (54) 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 536350464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (879083520).

536350464 is an abundant number, since it is smaller than the sum of its proper divisors (1221816576).

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

536350464 is a wasteful number, since it uses less digits than its factorization.

536350464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The square root of 536350464 is about 23159.2414383546. The cubic root of 536350464 is about 812.4866246003.

The spelling of 536350464 in words is "five hundred thirty-six million, three hundred fifty thousand, four hundred sixty-four".