611338401 has 32 divisors (see below), whose sum is σ = 929404800. Its totient is φ = 397016640.

The previous prime is 611338369. The next prime is 611338423. The reversal of 611338401 is 104833116.

611338401 is a `hidden beast` number, since 611 + 3 + 3 + 8 + 40 + 1 = 666.

It is not a de Polignac number, because 611338401 - 2⁵ = 611338369 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (611338601) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 174495 + ... + 177963.

It is an arithmetic number, because the mean of its divisors is an integer number (29043900).

Almost surely, 2^611338401 is an apocalyptic number.

611338401 is a gapful number since it is divisible by the number (61) formed by its first and last digit.

It is an amenable number.

611338401 is a deficient number, since it is larger than the sum of its proper divisors (318066399).

611338401 is a wasteful number, since it uses less digits than its factorization.

611338401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3646 (or 3640 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 611338401 is about 24725.2583606319. The cubic root of 611338401 is about 848.7124224230.

The spelling of 611338401 in words is "six hundred eleven million, three hundred thirty-eight thousand, four hundred one".