5436480 has 112 divisors (see below), whose sum is σ = 19751040. Its totient is φ = 1241088.

The previous prime is 5436479. The next prime is 5436493. The reversal of 5436480 is 846345.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6316 + ... + 7124.

Almost surely, 2^5436480 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 5436480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9875520).

5436480 is an abundant number, since it is smaller than the sum of its proper divisors (14314560).

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

5436480 is a wasteful number, since it uses less digits than its factorization.

5436480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 836 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 5436480 is about 2331.6260420573. The cubic root of 5436480 is about 175.8352452692.

The spelling of 5436480 in words is "five million, four hundred thirty-six thousand, four hundred eighty".