58405000 has 40 divisors (see below), whose sum is σ = 136854630. Its totient is φ = 23360000.

The previous prime is 58404991. The next prime is 58405021. The reversal of 58405000 is 50485.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 736164 + 57668836 = 858^2 + 7594^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×58405000² = 6822288050000000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 841 + ... + 10840.

Almost surely, 2^58405000 is an apocalyptic number.

58405000 is a gapful number since it is divisible by the number (50) 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 58405000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68427315).

58405000 is an abundant number, since it is smaller than the sum of its proper divisors (78449630).

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

58405000 is a wasteful number, since it uses less digits than its factorization.

58405000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11707 (or 11688 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 58405000 is about 7642.3164027669. The cubic root of 58405000 is about 387.9865549598.

Adding to 58405000 its reverse (50485), we get a palindrome (58455485).

The spelling of 58405000 in words is "fifty-eight million, four hundred five thousand".