610401792 has 320 divisors, whose sum is σ = 2188859904. Its totient is φ = 145981440.

The previous prime is 610401791. The next prime is 610401797. The reversal of 610401792 is 297104016.

It is a happy number.

It is a super-2 number, since 2×610401792² = 745180695353622528, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (610401791) 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, 1537338 + ... + 1537734.

Almost surely, 2^610401792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 610401792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1094429952).

610401792 is an abundant number, since it is smaller than the sum of its proper divisors (1578458112).

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

610401792 is a wasteful number, since it uses less digits than its factorization.

610401792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 610401792 is about 24706.3107727560. The cubic root of 610401792 is about 848.2787738963.

The spelling of 610401792 in words is "six hundred ten million, four hundred one thousand, seven hundred ninety-two".