407608 has 8 divisors (see below), whose sum is σ = 764280. Its totient is φ = 203800.

The previous prime is 407599. The next prime is 407621. The reversal of 407608 is 806704.

407608 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (8).

It is a super-2 number, since 2×407608² = 332288563328, which contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 25468 + ... + 25483.

It is an arithmetic number, because the mean of its divisors is an integer number (95535).

2⁴⁰⁷⁶⁰⁸ is an apocalyptic number.

It is an amenable number.

407608 is a deficient number, since it is larger than the sum of its proper divisors (356672).

407608 is a wasteful number, since it uses less digits than its factorization.

407608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50957 (or 50953 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 407608 is about 638.4418532646. The cubic root of 407608 is about 74.1448344330.

It can be divided in two parts, 407 and 608, that multiplied together give a triangular number (247456 = T₇₀₃).

The spelling of 407608 in words is "four hundred seven thousand, six hundred eight".