7261408 has 72 divisors (see below), whose sum is σ = 18184824. Its totient is φ = 2822400.

The previous prime is 7261403. The next prime is 7261433. The reversal of 7261408 is 8041627.

It is a super-2 number, since 2×7261408² = 105456092284928, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7261403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17038 + ... + 17458.

It is an arithmetic number, because the mean of its divisors is an integer number (252567).

Almost surely, 2^7261408 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 7261408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9092412).

7261408 is an abundant number, since it is smaller than the sum of its proper divisors (10923416).

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

7261408 is a wasteful number, since it uses less digits than its factorization.

7261408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 7261408 is about 2694.6999833006. The cubic root of 7261408 is about 193.6452936850.

The spelling of 7261408 in words is "seven million, two hundred sixty-one thousand, four hundred eight".