496198400 has 216 divisors, whose sum is σ = 1319998848. Its totient is φ = 184320000.

The previous prime is 496198393. The next prime is 496198403. The reversal of 496198400 is 4891694.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is not an unprimeable number, because it can be changed into a prime (496198403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8134370 + ... + 8134430.

Almost surely, 2^496198400 is an apocalyptic number.

496198400 is a gapful number since it is divisible by the number (40) 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 496198400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659999424).

496198400 is an abundant number, since it is smaller than the sum of its proper divisors (823800448).

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

496198400 is a wasteful number, since it uses less digits than its factorization.

496198400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 41.

The square root of 496198400 is about 22275.5112174783. The cubic root of 496198400 is about 791.6838516430.

It can be divided in two parts, 496 and 198400, that multiplied together give a square (98406400 = 9920²).

The spelling of 496198400 in words is "four hundred ninety-six million, one hundred ninety-eight thousand, four hundred".