407652 has 48 divisors (see below), whose sum is σ = 1139712. Its totient is φ = 110880.

The previous prime is 407651. The next prime is 407657. The reversal of 407652 is 256704.

It is a happy number.

It is a d-powerful number, because it can be written as 4² + 0 + 6⁷ + 7⁵ + 5⁷ + 2¹⁵ .

It is not an unprimeable number, because it can be changed into a prime (407651) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1827 + ... + 2037.

It is an arithmetic number, because the mean of its divisors is an integer number (23744).

2⁴⁰⁷⁶⁵² is an apocalyptic number.

407652 is a gapful number since it is divisible by the number (42) 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 407652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569856).

407652 is an abundant number, since it is smaller than the sum of its proper divisors (732060).

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

407652 is a wasteful number, since it uses less digits than its factorization.

407652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 407652 is about 638.4763112285. The cubic root of 407652 is about 74.1475022374.

The spelling of 407652 in words is "four hundred seven thousand, six hundred fifty-two".