190464000 has 240 divisors, whose sum is σ = 654291456. Its totient is φ = 49152000.

The previous prime is 190463993. The next prime is 190464007. The reversal of 190464000 is 464091.

It is an interprime number because it is at equal distance from previous prime (190463993) and next prime (190464007).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (190464007) 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, 6143985 + ... + 6144015.

Almost surely, 2^190464000 is an apocalyptic number.

190464000 is a gapful number since it is divisible by the number (10) 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 190464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327145728).

190464000 is an abundant number, since it is smaller than the sum of its proper divisors (463827456).

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

190464000 is an frugal number, since it uses more digits than its factorization.

190464000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 190464000 is about 13800.8695378226. The cubic root of 190464000 is about 575.3573078518.

The spelling of 190464000 in words is "one hundred ninety million, four hundred sixty-four thousand".