7436480 has 56 divisors (see below), whose sum is σ = 18763488. Its totient is φ = 2797568.

The previous prime is 7436479. The next prime is 7436489. The reversal of 7436480 is 846347.

It is a happy number.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (7436489) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4757 + ... + 6123.

Almost surely, 2^7436480 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 7436480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9381744).

7436480 is an abundant number, since it is smaller than the sum of its proper divisors (11327008).

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

7436480 is a wasteful number, since it uses less digits than its factorization.

7436480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1401 (or 1391 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 7436480 is about 2726.9910157534. The cubic root of 7436480 is about 195.1892092933.

The spelling of 7436480 in words is "seven million, four hundred thirty-six thousand, four hundred eighty".