7461408249 has 24 divisors (see below), whose sum is σ = 11023039872. Its totient is φ = 4861298400.

The previous prime is 7461408233. The next prime is 7461408257. The reversal of 7461408249 is 9428041647.

7461408249 is a `hidden beast` number, since 7 + 4 + 614 + 0 + 8 + 24 + 9 = 666.

It is not a de Polignac number, because 7461408249 - 2⁴ = 7461408233 is a prime.

It is a super-2 number, since 2×7461408249² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7461408299) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 283942 + ... + 309104.

It is an arithmetic number, because the mean of its divisors is an integer number (459293328).

Almost surely, 2^7461408249 is an apocalyptic number.

It is an amenable number.

7461408249 is a deficient number, since it is larger than the sum of its proper divisors (3561631623).

7461408249 is a wasteful number, since it uses less digits than its factorization.

7461408249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25917 (or 25914 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 7461408249 is about 86379.4434399759. The cubic root of 7461408249 is about 1954.0706767175.

The spelling of 7461408249 in words is "seven billion, four hundred sixty-one million, four hundred eight thousand, two hundred forty-nine".